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SMITHSONIAN MISCELLANEOUS COLLECTIONS VOLUME 118 (WHOLE VOLUME)
Research Corporation Fund
SMITHSONIAN LOGARITHMIC TABLES
TO BASE e AND BASE 10
PREPARED BY
GEORGE WELLINGTON SPENCELEY, RHEBA MURRAY SPENCELEY, AND
EUGENE RHODES EPPERSON
Miami UNIveERsITy, Oxrorp, OHIO
(Pusiication 4054)
CITY OF WASHINGTON PUBLISHED BY THE SMITHSONIAN INSTITUTION 1952
Tbe Bord Baltimore Press
BALTIMORE, MD., U. 8. A.
PREFACE
The tables here presented represent an adaptation of Hotiel’s factor- izing method of computing logarithms. We became acquainted with Hotel’s basic idea about 30 years ago, when we saw it explained and ex- emplified in Dr. E. R. Hedrick’s “Logarithmic and Trigonometric Tables.” Fifteen years later we were using our own 20-place Hoel table of natural logarithms to compute the so-called ‘“q’s’’ used in preparing our “Smith- sonian Elliptic Functions Tables’ (published in 1947). At that time we conceived the idea embodied in the present tables and were so convinced of its possibilities that we carried out much of the early work in this secondary project simultaneously with the computation of the elliptic tables.
Originally we planned a table of natural logarithms only (i.e., to base e), but several years later it was decided to include common logarithms (i.e., to base 10). This doubled our work and necessitated some revi- sion of computations already finished. We feel that the completed design justifies the extra work and added expense.
While the tables were in preparation Miami University assigned four students to help in the work and paid them for their efforts—Paul Chifos, Eugene Epperson, Steve Pizanis, and Russell Treon. The loyal, pains- taking, and efficient work of these young men was a continuing inspiration to us, and all out of proportion to the remuneration they received. In fact, Mr. Epperson’s work was so extraordinarily helpful that we have placed his name with ours on the title page.
Toward the end of our task we sent photostatic copies of several pages of the manuscript to Dr. A. J. Thompson, computer and well-known editor of “Logarithmetica Britannica,” for his expert appraisal, not for- getting to remind him that he himself had anticipated our idea by several years. His friendly and commendatory letter, including many suggested improvements, was a valuable aid and probably the deciding factor in the difficult task of promoting the publication of the tables.
We are deeply indebted to the Research Corporation of New York for the generous grant of funds to the Smithsonian Institution that made possible the publication of this book and also to Dr. Alexander Wetmore, Secretary of the Smithsonian, through whose interest and efforts the publi- cation of the tables was undertaken by the Institution. Not only was Dr. Wetmore chiefly responsible for negotiating the financing of the publica- tion, but he and his editorial staff have been most helpful in seeing the volume through the press.
G. W.S. ReMi: OxForD, OHIO, June 24, 1951.
ili
CONTENTS
Page Pepracr, by G, VV..and IR. MM, Spenceléy ae. seeds oad cea eee iil PreeOuve MON. Oy 1H AE PPersON 5, adad teas h bena ase do Vn a etal Vil cates of powers: O10)... x Wateatn Sean tien’s pened ed deena does xil Sapte Ls . Natural logarithms (to, base €) i. s.085042+es02.e0e% v0 e400 1 TaBLE 2: Common logarithms (to base 10)............. 0.0.00. e eee 203
INTRODUCTION
“To those who are continually using interpolation methods, the use of factorizing methods with which they are unfamiliar may at first attempt appear more lengthy. Such workers will find, however, that this is not so; and that after becoming familiar with them, they are at least as short for finding loga- rithms, and distinctly shorter for finding antilogarithms.” That is what A. J. Thompson had to say in the introduction to part vir of his ‘“Logarithmetica Britannica” about the factorizing method for finding logarithms and antiloga- rithms. The present volume is devoted exclusively to the factorizing method and is composed of two parts, as follows:
Table 1: 23-decimal-place values of the natural logarithms of XXXX, 1.0°XXXX, and 1.0°X XXX, the range of XX XX being from 1 to 10,000.
Table 2: 23-decimal-place values of the common logarithms of XXXX, 1.0°XXXX, and 1.0°XX XX, the range of XXXX being from 1 to 10,000.
These tables should be a welcome addition to the existing tables of loga- rithms.
The optimu: number of significant figures has been chosen for the range of the argument. Five significant figures would increase the number of tabular values from the existing 60,000, for both tables, to 600,000. Thus two rela- tively large volumes would be required. Further the number of decimal places of the logarithm has been extended to 23. This number is the natural point of departure permitting the computation ab initio of the logarithm of the fourth factor 1.0'°*XXXX ... with ease; for the second term of the series In(l+a£)=x—2x°/2+ ... will affect at most the twenty-third decimal place. The need for a fourth column is therefore eliminated.
The computation of the logarithms, to the base e, of the integers was per- formed with the aid of Wolfram’s table, which contains the natural logarithms of the first 2,200 integers and of primes and certain composite numbers up to 10,009 to 48 decimal places. The table actually used was the one given in “Thesaurus Logarithmorum Completus” (1794) by George Vega. A complete list of known errors in this table was supplied by Prof. Raymond Clare Archi- bald, of Brown University, along with an invaluable suggestion. The tabular values for the second and third columns were obtained with the aid of the series In(1+x) =x—4#?/2+4°/3— ..., and calculated to 28 decimal places. All the tabular values for the logarithms, to the base 10, were obtained by multi- plying the tabular values in the table of logarithms, to the base e, by the modulus 0.43429 . . . , to 28 decimal places. These values were rounded to 23 decimal places. Both tables were tested by applying differencing tests. Throughout the duration of this project hand-operated, calculating machines with 10 columns of 10 keys were used for the computing and checking of the tables.
Vii
In both tables of this volume, the error in the twenty-third place does not exceed 0.5. The maximum error, therefore, which can occur in a result obtained by adding together three logarithms from the table and the com- puted logarithm of the fourth factor will be less than 4(0.5), i.e. less than two units in the twenty-third place.
DIRECT FACTORIZATION
When the natural logarithm of a number of more than four significant digits is desired, the number must be broken up into factors, the first of which con- sists of the number formed by the first four digits. The others are the three numbers 1.0?XXXX, 1.07X XXX, and 10°%XXXX ... formed from the first 8, 12, and 23 digits, respectively, of the quotient that results when the division is performed with the preceding factor as divisor and commencing with the first four digits. The logarithms of the first three factors are taken from the first, second, and third columns, respectively, of table 1. The loga- rithm of the last factor, 1OUXXXX ... , is the decimal 0.0UXXXX ..., to 23 places, minus a correction factor that may be obtained by a simple mental calculation. The sum of these logarithms is the desired logarithm.
It is assumed, in the example that follows, that the computer has access to a calculating machine.
Example: To find Inz, given the value a = 3.14159,26535,89793 ,23846,264
Solution : a = 3.14159,26535,89793,23846,264 = 3.141 x 1.0918,86830,91306,34780,72588 = 3.141 x 1.091886 x 1.07830,75638,28242,71930 = 3.141 x 1.091886 x 1.078307 x 1.0115638,28195,88209 = 3141 x 1.091886 x 1.078307 x 1.0715638,28195,88209 x 107°
The above are the factors of a identical, respectively, with AXAXK SK LOX KAA KOA XO XX SS.
In practice it is obviously not necessary to record all the data given above. The Jn of the first three factors may be obtained from the three columns of table 1. The /n(1.0'15638,28195,88209 ) = 0.0'15638,28195,88209 — 0.077157 =
0.0"'5638,28195,881, from the series In(1+4%) =x*—-+2°/2+ .. . in which only the first two terms are significant. From table 1:
In 3141 =8.05229,64995,38646,54598,997
In 1.091886 = 18,85822,17255,84856,087
In 1.078307 = 830,69996,54968,774
ino LO" 56385246 = 5638,28195,881
8.05248,51648,31537,22619,739 (minus) In 10% =6.90775,52789,82137,05205,397
Therefore, In + =1.14472,98858,49400,17414,342 in which there is an error of one unit in the twenty-third decimal place.
Vili
Instead of commencing with 3141 as the first factor, 3140 or 3139 could have been used. In general, any number may be used as the first factor pro- vided the first eight digits of the resulting quotient fall within the interval of the argument for the second column of the table. When checking the result obtained from one series of values, there is a definite advantage in employing an entirely different series. This provides for checking the work of the com- puter and the accuracy of these tables.
In finding the common logarithm of a number, the procedure is much the same as that for finding the natural logarithm. Table 2, containing the com- mon logarithms, will be used. The characteristic of the common logarithm is obtained in the customary manner employed when tables involving interpola- tion methods are utilized. The only significant difference is found in the com- puted value of the logarithm of the fourth factor.
To emphasize the modification required when obtaining a common logarithm, the following example will illustrate the method in finding the log of 7. The four factors are the same, and the logarithms of the first three factors are found in the first, second, and third columns, respectively, of table 2. In the previous example the /n of the fourth factor was found to be 0.0115638,28195, 88052. This result must be multiplied by the modulus, 0.43429 ... , and their product rounded to 23 decimal places. Hence:
log 1.0'°5638,28195,88209 = (0.0115638,28195,88209 — 0.0°7157) (0.43429,44819,03251,82765,11829) =0.0%2448,67474,212.
Therefore, the log of z follows:
log 3.141 =0.49706,79363,98504,77113,023 log 1.071886 = 8,19002,16339,29522,736 log LOR30/= 360,76841,11325,155
log 1.015638... 2448,67474,212 Thus the log 7 =0.49714,98726,94133,85435,126
in which there is an error of one unit in the twenty-third decimal place.
INVERSE FACTORIZATION
An antilogarithm is found by reversing the process. From the logarithm proposed, the natural logarithms of the numbers XXXX, 1.0°XXXX, etc., are subtracted in succession. The product of these numbers gives the number sought.
In most cases the value of Jn N should first be brought into that part of the table where N lies between 1,000 and 10,000. This may be accomplished by adding or subtracting a multiple of /n 10 which only affects the position of the decimal point in the value of N. The proper multiple of Jn 10 to be added or subtracted may be readily determined if the computer knows only the approximate value for the Jn 10=2.3, In 10?=4.6, In 10°=6.9, In 10*=9.2, GLC.
In the example that follows it is again assumed that the computer has access to a calculating machine.
Example: To find x’, given In r=1.14472,98858,49400,17414,34273 Solution : In 2? =2.28945,97716,98800,34828,685 In 10?=6.90775,52789,82137,05205,397 (plus)
9.19721,50506,80937 ,40034,082 In? 9.19715,38101,72007,17851,824 = 9869
6,12405,08930,22182,258
In? 6,11981,27356,40346,909 = 1.0°0612 423,81573,81835,349
i 423,79999,10196,783 = 1.074238
In 0.00" ,. (0, 01574, 71038 506=1.07415/74 2a,
the fourth factor of the desired number. Since 0.0111574 . . . is the In of a number of the form /n(1+.), we have from the equivalent series:
x —x?/2=0.0"11574,71638,566 x =0.0"1574,71638,566 + 12/2 =0.0'1574,71638,566 + 0.029123 x=0.0!1574,71638,566
Hence Jn™*(0.0"1574,71638,566) = 1.0"11574,71638,566. Thus 7?= (9869) (1.090612) (1.074238) (1.0°11574,71638,566) (10°) =9.86960,44010,89358,- 61883,44 in which there is an error of one unit in the last decimal place.
Instead of commencing by deducting /n 9869 it would be just as con- venient to deduct /n 9868 or any logarithm down to /n 9860, and then proceed, as before, to the use of table 1. In general any number whose logarithm, when subtracted from the given logarithm, results in a remainder that falls within the tabular values found in the second column of table 1 may be used.
In finding an antilogarithm when the common logarithm of a number is given, the procedure is much the same as that when the natural logarithm is given. When selecting the initial log nearest the value of the given log, it is advisable to select the log found between the tabular values for the numbers 1,000 to 10,000.
The only significant difference when working with the common logarithms of table 2 is found in the computed value of the log of the fourth factor, 1.0°%XXXX.... The following example will readily explain the procedure to follow:
Example: To find e, given
log e=0.43429,44819,03251,82765,113 log 0.43408,96384,17890,77 149,304 = 2.717
20,48434,85361,05615,809
log? 20,48084 06847 ,61790,274 = 1.084717 350,78513,43825,535 log" 350,77963,88670,210= 1.078077
log? 0. 0° , O® ,00549,55155,325 may be found by the same
x
method applicable to natural logarithms if the above log is first divided by the modulus, 0.43429,44819,03251, from the formula In N=(1/p) log N where p=0.43429, . . . . This gives a result of 0.0''1265,38921,434517 which is the In1.0OUXXXX ... , the fourth factor. Comparison with the procedure used in the example for natural logarithms verifies that the value for Jn 1.0°XXXX ++ = 1,0"1265,38921,435+4-0,0748 = 1.07°1265,38921,435. Therefore e= (2.717) (1.084717) (1.078077) (1.0111265,38921,435 ) =2.71828,18284,59045,23536,03. This result is correct for 23 significant digits.
It is interesting to note that the tabular value nearest the given log is the log 2718 rather than 2717. Furthermore, the log 2716 could also be used and the series derived from use of this tabular value could serve as a check on the previous work.
E. R. Epperson. Miami UNIVERSITY, OxForD, OHIO, June 24, 1951.
xi
LOGARITHMS OF POWERS OF 10
In 10 = 2.30258,50929,94045,68401,799 In 10? = 4.60517,01859,88091,36803,598 In 10? = 6.90775,52789,82137,05205,397 In 10* = 9.21034,03719,76182,73607,197 In 10° =11.51292,54649,70228,42008,996
In 10° =13.81551,05579,64274,10410,795 In 107 =16.11809,56509,58319,78812,594 In 10° =18.42068,07439,52365,47214,393 In 10° =20.72326,58369,46411,15616,192 In 10° =23.02585,09299,40456,84017,991 log e = 0.43429.44819,03251,82765,113
TABLE 1.—LOGARITHMIC TABLES TO THE: BASE «
=e
- 7 a. 7 - ye) , - =) 5 9 : i - . 7 2° - 4 © > > * 6
-
LOGARITHMIC TABLES TO THE BASE e 1
00000 00000 0200 00999 99995 00000 99999 71805 30941 01999 99980 00000 99999 22886 69139 02999 99955 00000 29999 99999 43611 61883 03999 99920 00002 39999 99999 79124 37460 04999 99875 00004 49999 99999
94692 00081 05999 99820 00007 59999 99999 01490 30510 06999 99755 00011 69999 99999 15416 92825 07999 99680 00017 79999 99999 45773 38279 08999 99595 00024 89999 99999 50929 68401 09999 99500 00033 99999 99999
52727 54406 10999 99395 00044 09999 99999 66497 31022 11999 99280 00057 19999 99999 93574 73605 12999 99155 00073 29999 99999 73296 61452 . 13999 99020 00091 39999 99999 02011 06599 14999 98875 00112 49999 99998
87222 23766 15999 98720 00136 59999 99998 33440 08024 16999 98555 00163 69999 99998 17578 69220 17999 98380 00194 79999 99998 89791 46000 18999 98195 00228 89999 99998 22735 99343 19999 98000 00266 99999 99998
24377 99650 20999 97795 00308 09999 99997 24533 85347 21999 97580 00354 19999 99997 42159 69080 22999 97355 00405 29999 99997 38303 61964 23999 97120 00460 39999 99997 58248 74920 24999 96875 00520 49999 99996
65380 04547 25999 96620 00585 59999 99996 68660 07418 26999 96355 00656 69999 99996 45101 92393 27999 96080 00731 79999 99996 58299 02718 28999 95795 00812 89999 99995 73816 37541 29999 95500 00899 99999 99995
72044 24592 30999 95195 00993 09999 99995 59027 54708 31999 94880 01092 19999 99994 75614 23545 32999 94555 01197 29999 99994 05246 38966 33999 94220 01310 39999 99994 80614 67970 34999 93875 01429 49999 99993
89384 00162 35999 93520 01555 59999 99993 79126 44436 36999 93155 01688 69999 99993 61597 76942 37999 92780 01829 79999 99992 16461 42744 38999 92395 01977 89999 99992 94541 30285 39999 92000 02133 99999 99992
20667 80386 40999 91595 02297 09999 99991 96182 30591 41999 91180 02469 19999 99991 01156 42347 42999 90755 02650 29999 99990 96339 16289 43999 90320 02839 39999 99990 24897 75739 44999 89875 03037 49999 99989
13964 00022 45999 89420 03244 59999 99989 76017 58682 46999 88955 03460 69999 99988 10109 92906 47999 88480 03686 79999 99988 02981 61021 48999 87995 03921 89998 99987 30054 05861 49999 87500 04166 99999 99987
SMITHSONIAN LOGARITHMIC TABLES
Zz LOGARITHMIC TABLES TO THE BASE e
24325 77164 .0°00 50999 86995 99986 81427 35488 51999 86480 99986 52121 83414 52999 85955 29999 99985 64274 38360 53999 $5420 39999 99985 32470 91866 54999 84875 49999 99984
35149 23335 55999 84320 59999 99984 34550 15140 56999 83755 69999 99983 46419 33660 57999 83180 79999 99983 05719 45061 58999 82595 89999 99982 22100 68483 59999 82000 99999 99982
73311 24875 60999 81395 09999 99981 45091 55534 61999 80780 19999 99980 91532 68789 62999 80155 29999 99980 59671 85650 63999 79520 39999 99979 95637 11065 64999 78875 49999 99978
26425 54487 65999 78220 59999 99978 90966 05967 66999 77555 69999 99977 76106 69908 67999 76880 79999 99976 97259 38220 68999 76195 89999 99976 49358 98912 69999 75500 99999 99975
41315 42132 70999 74795 11930 09999 99974 16055 31104 71999 74080 12441 19999 99974 48391 12909 72999 73355 12967 29999 99973 04169 75378 73999 72620 13507 29999 99972
36310 44059 74999 71875 14062 49999 99971
86331 07884 75999 71120 14632 59999 99971 53683 84916 76999 70355 15217 69999 99970 89591 73686 77999 69580 15818 79999 99969 67021 49417 78999 68795 16434 89999 99968 73881 61226 79999 68000 17066 99999 99968
72438 76558 80999 67195 17714 09999 99967 64253 11328 81999 66380 18378 19999 99966 96597 92347 82999 65555 19059 29999 99965 43313 61533 83999 64720 19756 39999 99964 90316 45485 84999 63875 20470 49999 99963
53507 73289 85999 63020 21201 59999 99963 54583 71857 86999 62155 21949 69999 99962 78206 47231 87999 61280 22715 79999 99961 32139 83831 88999 60395 23498 89999 99960 30265 06680 89999 59500 24299 99999 99959
16850 04115 90999 58595 25118 09999 99958 49040 30964 91999 57680 25956 19999 99957 53255 93732 92999 56755 26811 29999 99956 70003 89623 93999 55820 27685 39999 99955 00540 83460 94999 54875 28578 49999 99954
67836 23848 95999 53920 29490 59999 99953 03382 82211 96999 52955 30422 69999 99952 74786 70571 91962 97999 51980 31372 79999 99951 98501 34589 92685 98999 50995 32343 89999 99950 01859 88091 36803 99999 50000 33333 99999 99950
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 3
41259 .0°01 00999 48995 34343 99948 84271 01999 47980 35373 99947 29635 02999 46955 36423 29999 99946 41372 03999 45920 37495 39999 99945 57523 04999 44875 38587 49999 99944
12067 05999 43820 39700 59999 99943 61906 06999 42755 40834 69999 99942 . 24219 07999 41680 41990 79999 99941 - 69134 29143 08999 40595 43167 89999 99940 - 70048 92416 09999 39500 44366 99999 99939
- 70953 12334 10999 38395 45587 09999 99938 - 71849 95094 11999 37280 46830 19999 99937 - 712738 12340 12999 36155 48096 29999 99936 - 73619 94495 13999 35020 49384 39999 99935 - T4493 63250 14999 33875 50695 49999 99933
- 15359 06364 15999 32720 52029 59999 99932 - 76217 97756 16999 31555 53386 69999 99931 . T1068 65664 17999 30380 54767 79999 99930 - T1912 11529 18999 29195 56171 89999 99929 - 78749 82045 19999 28000 57599 99999 99928
- 79579 96741 20999 26795 59051 09999 99926 - 80402 33256 21999 25580 60527 19999 99925 . 81218 72417 49526 22999 24355 62028 29999 99924 . 82028 05036 86476 23999 23120 63553 39999 99923 - 82831 02301 12380 24999 21875 65103 49999 99921
- 83628 51477 99731 25999 20620 66678 59999 99920 - 84418 58591 27304 26999 19355 68278 69999 99919 . 85203 19617 16592 27999 18080 69904 79999 99918 - 85981 61672 11486 28999 16795 71555 89999 99916 - 86753 55582 42007 29999 15500 73232 99999 99915
. 87519 01151 54414 30999 14195 74935 09999 99914 - 88280 86370 85429 31999 12880 76664 19999 99912 - 89034 21753 76511 32999 11555 78420 29999 99911 - 89783 50911 36908 33999 10220 80202 39999 99910 - 90527 38429 44878 34999 08875 82011 49999 99908
- 91265 36052 00850 35999 07520 83847 59999 99907 - 91998 28124 91531 36999 06155 85710 69999 99906 . 92725 57204 69161 37999 04780 87601 79999 99904 - 93447 30691 75718 38999 03395 89519 89999 99903 - 94164 09304 29854 39999 02000 91465 99999 99902
- 94875 78168 27821 40999 00595 93439 09999 99900 - 95582 01260 73074 41998 99180 95441 19999 99899 - 96284 59907 28011 42998 97755 97472 29999 99897 - 96981 76000 62045 43998 96320 99531 39999 99896 - 97673 20574 40178 44998 94876 01619 49999 99894
- 98360 08336 43850 45998 93421 03736 49999 99893 - 99043 78736 30160 46998 91956 05882 69999 99891 - 99721 64115 06320 47998 90481 08058 79999 99890 - 00394 45459 14099 48998 88996 10263 89999 99888 -01063 96255 75001 49998 87501 12498 99999 99887
SMITHSONIAN LOGARITHMIC TABLES
4 LOGARITHMIC TABLES TO THE BASE e
98368 32879 0901 50998 85996 99885 05208 38826 51998 84481 99884 79213 46304 52998 82956 29999 99882 26024 15858 53998 81421 39999 99881 51169 62052 54998 79876 49999 99879
60072 04628 55998 78321 59999 99878 58053 05742 56998 76756 69999 99876 50330 80359 57998 75181 79999 99875 42022 52553 58998 73596 89999 99873 38152 92168 59998 72001 99999 99872
43649 99591 60998 70396 09999 99870 63352 07499 61998 68781 19999 99868 02008 33406 62998 67156 29999 99867 64278 42270 63998 65521 39999 99865 54739 61005 64998 63876 49999 99863
77883 23289 65998 62221 59999 99862 38124 10725 66998 60556 69999 99860 39794 92475 67998 58881 79999 99858 87149 47210 68998 57196 89999 99857 84370 76426 69998 55501 99999 99855
35565 84279 70998 53796 09999 99853 44768 04230 71998 52081 19999 99852 15944 94693 72998 50356 29999 99850 52992 02799 73998 48621 39999 99848
59739 05430 74998 46876 49999 99846
39950 78173 75998 45121 59999 99845 97325 14201 76998 43356 69999 99843 35502 14773 77998 41581 79999 99841 58058 99617 78998 39796 89999 99839 68508 37622 79998 38001 99999 99838
70312 74683 80998 36196 09999 99836 66870 35057 81998 34382 19999 99834 61528 94014 82998 32557 29999 99832 57576 61905 83998 30722 39999 99830 58250 81896 84998 28877 49999 99828
66737 24674 85998 27022 59999 99827 86168 62431 86998 25157 69999 99825 19628 20565 87998 23282 79999 99823 70150 37929 88998 21397 89999 99821 40721 14402 89998 19502 99999 99819
34280 87284 90998 17597 09999 99817 53720 54789 91998 15682 19999 99815 01889 55185 92998 13757 29999 99813 81590 13153 93998 11822 39999 99811 95585 80204 94998 09877 49999 99809
46592 22904 95998 07922 59999 99807 37287 50677 96998 05957 69999 99805 70306 23626 97998 03982 79999 99803 48247 39541 98998 01997 89999 99801 73665 67745 99998 00002 99999 99800
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e
59075 01204 41787 44216 38408
89581 65369 80797 01317 42519 64811 75307 17468
81334 76066 62746 72012 21657 09425 60150 21851 80281 27662
84076 84165 73535 40459 50627 89089 17298 16500 75463 52361
27015 17752 73818 72279 17714 60118 60518 55039 04022 04420
49992 72285 00174 81402 56289 54440 20035 54239 93089 23195
77105 21793 73716 66309 84535 65700 11153 57701 55141 44158
18050 25610 01411 35131 06736 71474 35519 31510 89233 41991
69334 90654 77261 56686 14433 40548 82252 93201 82105 44726
15359 32362 83366 27977 87461 64982 28964 64707 09178 62246
SMITHSONIAN LOGARITHMIC TABLES
75106 76030 33228 39047 17846
08018 07359 97372 00407 68051
49574 45297 11272 48272 79807
00243 55103 00979 82048 53749
81630 44518 75863 85219 13199
87799 67501 77023 64844 37482
54056 95543 56530 42826 96142
06945 18556 69477 66696 30366
99546 39754 45697 86758 98481
80467 19606 17418 61487 43321
0302 00997 01997 02997 03997 04997
05997 06997 07997 08997 09997
10997 11997 12997 13997 14997
15997 16997 17997 18997 19997
20997 21997 22997 23997 24997
25997 26997 27997 28997 29997
30997 31997 32997 33997 34997
35997 36997 37997 38997 39997
40997 41997 42997 43997 44996
45996 46996 47996 48996 49996
97997 95982 93957 91922 89877
87822 85757 83682 81598 79503
77398 75283 73158 71023 68878
66723 64558 62383 60198 58003
55798 53583 51358 49123 46878
44623 42358 40083 37799 35504
33199 30884 28559 26224 23879
21524 19159 16784 14399 12004
09599 07184 04759 02324 99879
97424 94960 92485 90000 87505
710682 74742 78843 82984 87166
91389 95653 99959 04306 08695
13126 17599 22114 26672 31273
35917 40604 45335 50109 54927
59789 64695 69646 74641 79681
84766 89896 95071 00292 05559
10872 16231 21637 27089 32588
38134 43727 49367 55055 60791
66575 72407 78288 84217 90195
96222 02298 08423 14598 20823
619 |. 0020 09999
29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
99797 99795 99793 99791 99789
99787 99785 99783 99781 99779
99777 99775 99773 99771 99768
99766 99764 99762 99760 1 99758
99755 99753 99751 99749 99746
99744 99742 99740 99737 99735
99733 99730 99728 99726 99723
99721 99719 99716 99714 99712
99709 99707 99704 99702 99699
99697 99694 99692 99689 99687
- 52545 - 52942 - 53338 - 53733 - 94126
-54517 . 54907 - 55295 - 55682 - 56068
- 56452 - 56834 -57215 -57594 - 57972
- 58349 . 58724 . 59098 -59471 - 59842
- 60211 - 60580 . 60947 - 61312 - 61677
- 62040 - 62401 - 62762 -63121 - 63478
- 63835 - 64190 - 64544 - 64897 - 65248
- 65599 - 65948 - 66296 - 66642 - 66988
- 67332 - 67675 - 68017 - 68357 - 68697
- 69035 - 69373 - 69709 - 70044 . 70378
LOGARITHMIC TABLES TO THE BASE e
21617 99537 15527
22693 61096 771764 46316 86222
81699 00249 10856 01839 98374
79700 95997 84959 88070 66571
17150 87338 90637 21365 69249
33745 38113 43237 61206 68650
19852 59621 35945 12432 80519
71492 68281 17067 38681 39819
24060 02699 05404 90686 56201
SMITHSONIAN LOGARITHMIC TABLES
88621 30673 23486 58246 14624
47533 79835 42428 74947 72948
40997 85356 55108 16370 20874
07453 52971 67850 10621 75820
90009 31791 73255 22473 29326
00103 49986 06660 62871 60795
76510 58763 62464 04016 52600
58953 10897 92987 16049 71120
51351 74792 30593 61102 82521
37261 61824 45040 42686 05943
0°02 50996 51996 52996 53996 54996
55996 56996 57996 58996 59996
60996 61996 62996 63996 64996
65996 66996 67996 68996 69996
70996 71996 72996 73996 74996
75996 76996 771996 78996 79996
80996 81996 82995 83995 84995
85995 86995 87995 88995 89995
90995 91995 92995 93995 94995
95995 96995 97995 98995 99995
85000 82485 79960 77425 74880
72325 69760 67185 64600 62005
59400 56785 54161 51526 48881
46226 43561 40886 38201 35506
32801 30086 27361 24626 21881
19127 16362 13587 10802 08007
05202 02387 99562 96727 93882
91027 88162 85287 82403 79508
76603 73688 70763 67828 64883
61928 58963 55988 53003 50008
444 |.07025 09999
29999 39999 49999
59999 69999 79999 89999 99999
09999 19599 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
99684 99682 99679 99677 99674
99672 99669 99667 99664 99662
99659 99656 99654 99651 99648
99646 99643 99640 99638 99635
99632 99630 99627 99624 99621
99619 99616 99613 99610 99608
99605 99602 99599 99596 99593
99591 99588 99585 99582 99579
99576 99573 99570 99567 99564
99561 99558 99555 99552 99550
LOGARITHMIC TABLES TO THE BASE e 7
02647 72857 820 | .0°03 00995 99546 70173 63821 347 01995 99543 28055 14227 944 02995 29999 99540 77014 69767 796 03995 39999 99537 17766 62335 215 04995 49999 99534
51019 77245 726 05995 59999 99531 T1475 15359 846 06995 69999 99528 97829 46800 176 07995 79999 99525 12768 46216 385 08995 89999 99522 22974 92994 716 09995 99999 99519
29121 13419 600 10995 09999 99516 31878 35570 043 11995 13290 19999 99513 31905 21667 877 12995 10165 29999 99510 29859 36684 168 13995 07030 39999 99507 26388 06249 14995 03885 49999 99503
22135 11300 15995 00730 59999 99500 17738 61419 16994 97565 69999 99497 13827 83495 17994 94390 79999 99494 11027 57124 18994 91205 89999 99491 09957 23110 19994 88010 99999 99488
11231 86469 20994 84806 09999 99484 15455 30532 21994 81591 19999 99481 23232 54025 22994 78366 29999 99478 35157 38441 23994 75131 39999 99475 51823 48525 24994 71886 49999 99471
73813 64348 25994 68631 59999 99468 01708 39177 26994 65366 69999 99465 36083 73211 27994 62091 79999 99462 T1507 89192 28994 58806 8999S 99458 26544 91947 29994 55511 99999 99455
83753 90078 30994 52207 09999 99452 49689 54230 31994 48892 19999 99448 24899 82715 32994 45567 29999 99445 09929 41667 33994 42232 39999 99442 05318 43427 34994 38887 49999 99438
11599 23416 35994 35532 59999 99435 29303 72450 36994 32167 69999 99432 58954 78152 37994 28792 79999 99428 01073 25997 38994 25407 89999 99425 56176 10207 07368 39994 22013 99999 99422
24772 83516 78999 40994 18608 09999 99418 07370 62605 15221 41994 15193 19999 99415 04471 65939 91531 42994 11768 29999 99411 16573 73398 35172 43994 08333 39999 99408 44170 31359 75680 44994 04888 49999 99404
87750 57724 25635 45994 01433 59999 99401 47799 46859 19235 46993 97968 69999 99397 24797 74474 33741 47993 94494 79999 99394 19222 02427 16319 48993 91009 89999 99390 31544 83459 36372 49993 87514 99999 99387
SMITHSONIAN LOGARITHMIC TABLES
8 LOGARITHMIC TABLES TO THE BASE e
- 86078 62234 65865 .0°03 50993 41413 99383 995 - 86363 11755 98097 51993 53768 99380 480 -86646 80569 33296 52993 66193 29999 99376 955 - 86929 69131 33774 53993 78689 39999 99373 420 -87211 77894 75415 54993 91256 49999 99369 875
- 87493 07308 52030 55993 03893 59999 99366 320 -87773 57817 79639 56993 16602 69999 99362 755 - 88053 29864 00700 57993 29382 79999 99359 180 - 88332 23884 88278 58993 42234 89999 99355 595 - 88610 40314 50155 59993 55158 99999 99352 000
-88887 79583 32880 60993 68153 09999 99348 395 -89164 42118 25771 61993 81221 19999 99344 780 - 89440 28342 64850 77951 62993 94361 29999 99341 155 -89715 38676 36740 65999 63993 07574 39999 99337 520 -89989 73535 82491 50369 64993 20859 49999 99333
- 90263 33334 01366 24956 65993 34218 59999 99330 - 90536 18480 54570 27161 66993 47650 69999 99326 - 90808 29381 68930 92847 67993 61155 79999 99322 -91079 66440 40527 18665 68993 74733 89999 99319 -91350 30056 38270 12838 69993 88386 99999 99315
- 91620 20626 07435 13924 70993 02113 09999 99311 -91889 38542 73146 55615 71993 15913 19999 99308 -92157 84196 43815 54133 72993 29788 29999 99304 - 92425 57974 14531 93372 73993 43738 39999 99300 - 92692 60259 70410 81519 74992 57763 49999 99296
- 92958 91433 89894 51507 75992 71862 49999 99293 - 93224 51874 48010 76323 76992 86037 69999 99289 - 93489 41956 19587 68870 T7992 00287 79999 99285 -93753 62050 82426 34781 78992 14613 89999 99281 -94017 12527 20431 45344 79992 29104 99999 99278
93751 26700 96444 80992 43492 09999 99274 06086 06575 18226 81992 58045 19999 99270 49891 80645 98999 82992 72675 29999 99266 25525 87726 85731 83992 87382 39999 99262 33342 87784 22376 84992 02165 49999 99258
73694 64830 86127 85992 17026 59999 99255 46930 29781 80626 86992 31964 69999 99251 53396 23273 44095 87992 46979 79999 99247 93436 18446 29284 88992 62071 89999 99243 67391 23692 11146 89992 77242 99999 99239
75599 85365 77105 90992 92490 09999 99235 18397 90462 53846 91992 07817 19999 99231 96118 69261 23554 92992 23222 29999 99227 09092 97933 81619 93992 38705 39999 99223 57649 01121 86877 94992 54268 49999 99219
42112 54480 54568 95992 69909 59999 99215 62806 87190 41308 96992 85630 69999 99211 20052 84437 70482 97992 01430 79999 99207 14168 89863 45650 98992 17309 89999 99203 45471 07981 98687 99992 33269 99999 99200
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 9
0°04 00991 49308 99195 19021 01991 65428 99191 46682 02991 81628 29999 99187 61150 03991 97908 39999 99183 06539 04991 14270 49999 99179
01732 05991 30712 59999 99175 42594 06991 47236 69999 99171 04161 07991 63841 79999 99167 42801 08991 80527 89999 99163 98353 09991 97296 99999 99159
96234 10991 14146 09999 99155 49526 11991 31078 19999 99151 61032 12991 48093 29999 99147 25314 13991 65191 39999 99143 30698 14991 82371 49999 99138
61263 15991 99634 59999 99134 98801 16991 16981 69999 99130 24756 17991 34411 79999 99126 22137 18991 51924 89999 99122 77413 19991 69522 99999 99118
82381 20991 87203 09999 99113 36011 21991 04968 19999 99109 46277 22991 22818 29999 99105 31957 23991 40753 39999 99101 24416 24990 58772 49999 99096
69370 25990 76876 59999 99092 28624 26990 95066 69999 99088 81796 27990 13341 79999 99084 28016 28990 31701 89999 99079 87608 29990 50147 99999 99075
03747 30990 68680 09999 99071 44110 31990 87298 19999 99066 02489 32990 06003 29999 99062 00404 33990 24794 39999 99058 88684 34990 43672 49999 99053
49034 35990 62638 59999 99049 95590 36990 81690 69999 99045 76446 37990 00830 79999 99040 75171 38990 20057 89999 99036 12306 39990 39372 99999 99032
46845 40990 58776 09999 99027 77698 41990 78267 19999 99023 45135 42990 97847 29999 99018 32224 43990 17515 39999 99014 66240 44990 37272 49999 99009
20064 45990 57118 59999 99005 13568 46990 77054 69999 99000 14985 47989 97079 79999 98996 42254 48989 17193 89999 98991 64365 49989 37397 99999 98987
SMITHSONIAN LOGARITHMIC TABLES
10 LOGARITHMIC TABLES TO THE BASE e
02678 0704 50989 83025 57691 32231 51989 78510 78075 83034 52989 73985 98550 29999 41347 53989 69451 19115 39999 50950 54989 64906 39772 49999
14386 55989 60351 60519 59999 94204 56989 55786 81357 69999 14184 57989 51212 02287 79999 60545 58989 46627 23308 89999 83140 59989 42032 44421 99999
96648 60989 37427 65626 09999 81738 61989 32812 86923 19999 86234 62989 28188 08313 29999 26255 63989 23553 29795 39999 87356 64989 18908 51370 49999
AMDAMAD
25645 65989 14253 73038 59999 68897 66989 09588 94799 69999 17646 67989 04914 16654 79999 98904 46279 68989 00229 38602 89999 98900 04104 69988 95534 60644 99999 98895
ARMADAD
16417 70988 90829 82780 09999 98890 85553 71988 86115 05010 19999 98886 91932 72988 81390 27335 29999 98881 95076 73988 76655 49754 39999 98876 34641 74988 71910 72268 49999 98871
6. 6. 6. 6. 6.
31420 75988 67155 94877 59999 98867 88341 76988 62391 17581 69999 98862 91455 77988 57616 40381 79999 98857 10915 78988 52831 63276 89999 98852 01936 6 79988 48036 86267 99999 98848
AAAAD
05761 80988 43232 09354 09999 98843 50600 81988 38417 32537 19999 98838 52572 82988 33592 55816 29999 98833 16631 83988 28757 79192 39999 98828 37483 84988 23913 02665 49999 98823
00493 85988 19058 26235 59999 98819 82589 86988 14193 49902 69999 98814 53147 87988 09318 73667 79999 98809 74872 88988 04433 97529 89999 98804 04672 89987 99539 21489 99999 98799
94520 : 90987 94634 45546 09999 98794 92308 91987 89719 69703 19999 98789 42690 92987 84794 93957 29999 98784 87922 93987 79860 18310 39999 98779 68690 94987 74915 42762 49999 98774
AAAAD
24927 95987 69960 67313 59999 98769 96628 96987 64995 91963 69999 98764 24652 97987 60021 16712 79999 98759 51518 98987 55036 41561 89999 98754 22191 99987 50041 66510 99999 98750
AAAAD
SMITHSONIAN LOGARITHMIC TABLES
61010 01196 01700 62680 84292
66692 10035 14475 80165 07257
95902 46250 58451 32654 69006
67654 28745 52422 38831 88115
00417 75878 14640 16843 82625
12127 05485 62837 84318 70065
20212 34893 14241 58389 67468
41610 80945 85601 55709 91395
92788 60014 93199 92468 57946
89757 88024 52869 84415 82782
LOGARITHMIC TABLES TO THE BASE e
84864 91729 99739 71368 75359
87465 91183 78481 50522 18371
03704 39507 70769 55165 63736
81562 08429 59483 65888 75473
53366 82638 64922 21042 91623
37709 41362 06261 58299 46167
41938 41644 65844 60194 96006
70801 08864 61784 08997 58320
46481 39646 33935 55942 63244
44905 21981 48015 09530 26516
SMITHSONIAN LOGARITHMIC TABLES
79865 19563 20641 61614 82548
54428 16350 89188 74283 45566
43419 78475 53419 10776 14536
73370 13088 05889 63832 03890
91808 71939 90081 16298 74570
86050 32617 47312 38161 51816
83340 38394 53992 83913 54790
98792 68757 41563 15427 06762
52157 20951 43823 62733 07497
04197 20563 53414 63154 60268
0305 00987 01987 02987 03987 04987
05987 06987 07987 08987 09986
10986 11986 12986 13986 14986
15986 16986 17986 18986 19986
20986 21986 22986 23986 24986
25986 26986
27986
28986 29985
30985 31985 32985 33985 34985
35985 36985 37985 38985 39985
40985 41985 42985 43985 44985
45985 46985 47984 48984 49984
45036 40022 34997 29962 24917
19863 14798 09723 04638 99544
94439 89324 84200 79065 73920
68765 63601 58426 53241 48046
42842 37627 32402 27167 21923
16668 11403 06129 00844 95549
90244 84930 79605 74270 68926
63571 58206 52831 47447 42052
36647 31233 25808 20373 14928
09474 04009 98534 93050 87555
07120 36549 66087 95733
25489 55353 85327 15411 45604
29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 29999 49999
59999 69999 79999 89999 99999
98689 98684 98679 98673
98668 98663 98658 98653 98648
98642 98637 98632 98627 98621
98616 98611 98606 98600 98595
98590 98584 98579 98574 98568
98563 93558 98552 98547 98542
98536 98531 98525 98520 98514
98509 98503 98498 98492 98487
11
4 LOGARITHMIC TABLES TO THE BASE e
48091 48719 .0°05 50984 82050 80462 31045 51984 76536 80015 79927 52984 71011 29999 46867 80928 53984 65476 39999 81137 51036 54984 59931 49999
82942 37602 55984 54377 59999 52399 02191 56984 48812 69999 89623 93813 57984 43237 79999 94731 15952 € 58984 37653 89999 67837 91737 59984 32058 99999
09055 31570 60984 26453 09999 18498 07452 61984 20839 19999 96281 38200 62984 15214 29999 42514 89705 63984 09579 39999 57311 94318 64984 03935 49999
40782 93406 65983 98280 59999 93037 07068 66983 92615 69999 14187 34958 67983 86941 79999 04341 92098 68983 81256 89999 63608 83542 69983 75561 99999
92096 21672 70983 69857 09999 89913 89894 71983 64142 19999 57167 56424 72983 58417 29999 93963 41838 73983 52683 39999
00407 44000 74983 46938 49999
76606 23929 75983 41183 59999 22665 56147 76983 35419 69999 38686 46991 77983 29644 79999 24775 24325 78983 23859 89999 81035 02061 79983 18065 99999
07568 22858 80983 12260 09999 04477 82292 81983 06445 19999 71863 37820 82983 00621 29999 09828 05734 83982 94786 39999 18472 49344 84982 88941 49999
97895 61535 85982 83087 59999 48198 44830 86982 77222 69999 69478 92044 87982 71347 79999 61836 70593 88982 65463 89999 25368 13463 89982 59568 99999
60174 19817 90982 53663 09999 66348 68203 91982 47749 19999 43989 45254 92982 41824 29999 93193 92766 93982 35889 39999 14055 75995 94982 29945 49999
06670 75982 95982 23990 59999 71133 08680 96982 18025 69999 07539 73627 97982 12051 79999 15981 34881 98982 06066 89999 96552 36884 99982 00071 99999
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 13
57927 .0°06 00981 94067 35733 98193 03799 01981 88052 71911 98187 44246 02981 82028 08210 29999 98181 94763 03981 75993 44629 39999 98175 46272 04981 69948 81169 49999 98169
45169 05981 63894 17830 59999 98163 26214 06981 57829 54612 69999 98157 00709 07981 51754 91515 79999 98151 02368 08981 45670 28540 89999 98145 93276 09981 39575 65687 99999 98139
32287 10981 33471 02955 09999 98133 08187 11981 27356 40346 19999 98127 39943 12981 21231 77860 29999 98121 46301 13981 15097 15496 39999 98115 86986 14981 08952 53254 49999 98108
T7741 15981 02797 91136 59999 98102 81399 16980 96633 29141 69999 98096 77158 17980 90458 67269 79999 98090 10222 18980 84274 05521 89999 98084 23936 19980 78079 43897 99999 98078
76499 fs 20980 71874 82396 09999 98071 44361 21980 65660 21020 19999 98065 14342 22980 59435 59768 29999 98059 66511 23980 53200 98641 39999 98053
49840 24980 46956 37639 49999 98046
52609 25980 40701 76761 59999 98040 69546 26980 34437 16009 69999 98034 67625 27980 28162 55382 79999 98028 52461 28980 21877 94881 89999 98021 37191 29980 15583 34506 99999 98015
15727 30980 09278 74256 09999 98009 '195 42242 31980 02964 14133 19999 98002 880 18713 32979 96639 54136 29999 97996 555 92361 33979 90304 94266 39999 97990 220 64764 34979 83960 34522 49999 97983 875
14437 35979 77605 74906 59999 97977 520 34626 36979 71241 15416 69999 97971 155 88066 37979 64866 56054 79999 97964 780 80411 38979 58481 96820 89999 97958 395 54052 39979 52087 37713 99999 97952 000
03983 40979 45682 78735 09999 97945 595 17411 41979 39268 19884 19999 97939 180 38726 42979 32843 61162 29999 97932 755 61474 43979 26409 02569 39999 97926 320 48946 44979 19964 44104 49999 97919 875
84967 45979 13509 85769 59999 97913 420 56465 46979 07045 27562 69999 97906 955 69383 47979 00570 69485 79999 97900 480 99467 48978 94086 11538 89999 97893 995 79467 49978 87591 53720 99999 97887 500
SMITHSONIAN LOGARITHMIC TABLES
14 LOGARITHMIC TABLES TO THE BASE e
24242 0306 50978 81086 95289 51978 74572 06141 52978 68047 29999 70118 53978 61513 39999 91875 54978 54968 49999
04153 55978 48414 09550 59999 40184 51188 56978 41849 52647 69999 97841 49313 25317 20134 57978 35274 95875 79999 97835 35345 02507 21920 58978 28690 39234 89999 97828 98350 20471 22889 59978 22095 82725 99999 97822
38398 51686 28584 : 60978 15491 26348 09999 97815 55559 37008 21020 61978 08876 70104 19999 97808 49901 85862 50769 62978 02252 13991 29999 97802 21494 76433 85172 63977 95617 58012 39999 97795 70406 55854 13971 64977 88973 02165 49999 97788
96705 40389 13657 65977 82318 46451 59999 97782 00459 15623 71799 66977 75653 90870 69999 97775 81735 36645 72609 67977 68979 35423 79999 97768 40601 28228 45003 68977 62294 80109 89999 97762 77123 85011 74368 69977 55600 24929 99999 97755
91369 71681 79281 70977 48895 69883 09999 97748 83405 23149 54358 71977 42181 14971 19999 97742 53296 44727 80457 72977 35456 60194 29999 97735 01109 12307 03392 73977 28722 05551 39999 97728 26908 72529 82338 74977 21977 51043 49999 97721
30760 42964 09094 75977 15222 96670 46 59999 97715 12729 12274 99324 76977 08458 42432 69999 97708 72879 40395 56939 T7977 01683 88330 79999 97701 11275 58696 12722 78976 94899 34363 89999 97694 27981 70152 38310 79976 88104 80532 99999 97688
23061 49512 36640 80976 81300 26837 09999 97681 96578 43462 09940 81976 74485 73278 19999 97674 48595 70790 06338 82976 67661 19855 29999 97667 79176 22550 46163 83976 60826 66569 39999 97660 88382 62225 28991 84976 53982 13420 49999 97653
76277 25885 22473 85976 47127 60408 59999 97647 42922 22349 33983 86976 40263 07533 69999 97640 88379 33343 66114 87976 33388 54795 79999 97633 12710 13658 57019 83976 26504 02195 89999 97626 15975 91305 06621 89976 19609 49733 99999 97619
98237 67669 89660 90976 12704 97409 09999 97612 59556 17669 56576 91976 05790 45223 19999 97605 99991 89903 23195 92975 98865 93175 29999 97598 19605 06804 50177 93975 91931 41266 39999 97591 18455 64792 13178 94975 84986 89495 49999 97584
96603 34419 64683 95975 78032 37864 59999 97577 54107 60523 88411 96975 71067 86372 69999 97570 91027 62372 47261 97975 64093 35019 79999 97563 07422 33810 25669 98975 57108 83806 89999 97556 03350 43404 67314 99975 50114 32733 99999 97550 000
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 15
78870 0°07 00975 43109 81799 34040 01975 36095 31006 68918 02975 29070 80353 29999 83561 03975 22036 29841 39999 78028 04975 14991 79469 49999
52374 05975 07937 29239 59999 06658 06975 00872 79150 69999 40936 76084 07974 93798 29202 79999 55265 49916 08974 86713 79395 89999 49700 10534 09974 79619 29731 99999
DAAMAD
24298 87696 10974 72514 80208 09999 79114 76656 11974 65400 30828 19999 14204 93673 12974 58275 81590 29999 29623 38616 13974 51141 32495 39999 25426 65471 14974 43996 83542 49999
01669 61501 15974 36842 34732 59999 97436 58405 99620 35835 16974 29677 86066 69999 97429 95690 48224 18246 17974 22503 37543 79999 97422 13577 21046 68852 18974 15318 89163 89999 97415 12120 10100 99506 19974 08124 40928 99999 97408
DAABG
91372 84949 07587 20974 00919 09999 97400 51388 92826 22943 21973 93705 19999 97393 92221 58764 68686 22973 86480 29999 97386 13923 85716 36567 23973 79246 39999 97379 16548 54674 77638 24973 72002 49999 97371
6. 6. 6. 6. 6.
00148 24796 08893 25973 64747 59999 97364 64775 33519 36591 26973 57483 07321 69999 97357 10481 96685 96941 27973 50208 60242 79999 97350 37320 08658 14837 28973 42924 13310 89999 97342 45341 42436 81311 29973 35629 66523 99999 97335
DAHHAS
34597 49778 50372 30973 28325 19882 09999 97328 05139 61311 55898 31973 21010 73387 19999 97320 57018 86651 49226 32973 13686 27039 29999 97313 90286 14515 58103 33973 06351 80837 39999 97306 04992 12836 67620 34972 99007 34782 49999 97298
PRAAR
01187 28876 23789 35972 91652 88874 59999 97291 78921 89336 60373 36972 84288 43114 69999 97284 38246 00472 49607 37972 76913 97500 79999 97276 79209 48201 77421 38972 69529 52035 89999 97269 01861 98215 43780 39972 62135 06717 99999 97262
PRAAG
06252 96086 88745 40972 54730 61547 09999 97254 92431 67380 44866 705 41972 47316 16525 177 19999 97247 60447 17759 16485 862 42972 39891 71651 717 29999 97239 10348 33091 86557 611 43972 32457 26926 840 39999 97232 42183 79559 51559 319 44972 25012 82350 747 49999 97224
56002 03760 85075 297 45972 17558 37923 638 59999 97217 51851 32817 30626 596 46972 10093 93645 711 69999 97209 29779 74477 24314 594 47972 02619 49517 168 79999 97202 89835 17219 47840 975 48971 95135 05538 209 89999 97194 32065 30356 12461 476 49971 87640 61709 032 99999 97187
SMITHSONIAN LOGARITHMIC TABLES
16 LOGARITHMIC TABLES TO THE BASE e
.0°07 50971 80136 97179 51971 72621 97172 52971 65097 29999 97164 53971 57562 39999 97157 54971 50018 49999 97149
79532 55971 42464 59999 97142 37448 56971 34899 69999 97134 42371 57971 27325 79999 97127 95629 58971 19740 89999 97119 80376 59971 12146 99999 97112
61685 60971 04541 09999 97104 86646 61970 96927 19999 97096 84457 62970 89303 29999 97089 66520 63970 81668 39999 97081 26535 64970 74024 49999 97073
AAAAAH
40591 65970 66369 59999 97066 67256 66970 58705 69999 97058 47672 67970 51030 79999 97050 05643 68970 43346 89999 97043 47729 69970 35652 99999 97035
AAAAD
63329 70970 27947 09999 97027 24776 71970 20233 19999 97020 87421 72970 12508 29999 97012 89727 73970 04774 39999 97004 53346 74969 97030 49999 96996
6. 6. 6. 6. 6.
83218 75969 89275 59999 96989 67647 76969 81511 69999 96981 78391 77969 73736 79999 96973 70748 78969 65952 89999 96965 83637 79969 58158 99999 96958
AAAAM
39685 80969 50353 09999 96950 45311 81969 42539 19999 96942 90803 82969 34715 29999 96934 50407 83969 26880 39999 96926 82408 84969 19036 49999 96918
DAAADD
29 206 85969 11181 59999 96911 17403 86969 03317 69999 96903 57879 87968 95443 79999 96895 45874 88968 87558 89999 96887 61067 89968 79664 99999 96879
AAARNND
67653 : 90968 71759 09999 96871 14425 91968 63845 19999 96863 34847 92968 55921 29999 96855 47135 93968 47986 39999 96847 54331 94968 40042 49999 96839
AAAADD
44383 95968 32088 59999 96831 90215 96968 24123 69999 96823 49808 97968 16149 79999 96815 66274 98968 08165 89999 96807 67927 99968 00170 99999 96800
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 17
- 6858609470 68359 22110 .0708 00967 29717 .68710 86078 66514 49526 01967 93952 -68835 47139 46761 67315 02967 58348 29999 - 68959 92691 78966 36989 03967 22904 39999 -69084 22774 18563 37051 04967 87621 49999
- 69208 37425 06628 29139 05967 52498 59999
-69332 36682 69948 79761 06967 17537 69999 96743 -69456 20585 21095 37913 07967 82738 79999 96735 -69579 89170 58491 68943 08967 48100 89999 96727 -69703 42476 66484 44959 09967 13623 99999 96719
-69826 80541 15412 92120 10967 79309 09999 96711 -69950 03401 61677 95112 11967 45157 19999 96703 - 70073 11095 47810 59149 12966 11167 29999 96695 . 70196 03660 02540 29784 13966 77340 39999 96687 - 70318 81132 40862 70866 14966 43676 49999 96678
- 70441 43549 64107 00931 15966 10174 59999 96670 - 70563 90948 60002 88348 16966 76836 69999 96662 - 70686 23366 02747 05513 17966 43661 79999 96654 -70808 40838 53069 42394 18966 10650 89999 96646 - 70930 43402 58298 79730 19966 77803 99999 96638
-71052 31094 52428 22161 20966 45119 09999 96629 - 71174 03950 56179 91612 21966 12600 19999 96621 -71295 62006 77069 81190 22966 80245 29999 96613 - 71417 05299 09471 69902 23966 48055 39999 96605 - 71538 33863 34680 98465 24965 16029 49999 96596
-71659 47735 20978 06513 25965 84168 59999 96588 - 71780 46950 23691 31448 26965 52473 69999 96580 - 71901 31543 85259 69243 27965 209 43 79999 96572 - 72022 01551 35294 97458 28965 8957:3 89999 96563 .72142 57007 90643 60749 29965 58380 99999 96555
- 72262 97948 55448 . 30965 27347 09999 96547 - 72383 24408 21208 31965 96481 19999 96538 - 72503 36421 66842 32965 65780 29999 96530 - 72623 34023 58746 33965 35247 39999 96522 - 72743 17248 50855 34965 04880 49999 96513
- 72862 86130 84701 35965 74680 59999 96505 - 72982 40704 89475 36964 44648 69999 96497 - 73101 81004 82083 37964 14782 79999 96488 - 73221 07064 67206 38964 85085 89999 96480 - 73340 18918 37359 39964 55555 99999 96472
- 73459 16599 72948 : 40964 26193 09999 96463
- 73578 00142 42326 41964 96999 19999 96455 180 - 73696 69580 01855 42964 67974 29999 96446 755 - 73815 24945 95957 43964 39117 39999 96438 320 - 73933 66273 57173 7173 44964 10429 49999 96429 875
- 74051 93596 06223 867 45964 81910 59999 96421 420 -74170 06946 52054 924 46964 53560 69999 96412 955 - 74288 06357 91903 340 25380 79999 96404 480 - 74405 91863 11347 97369 89999 96395 995 850 |6.74523 63494 84362 13886 829 69528 99999 96387 500
SMITHSONIAN LOGARITHMIC TABLES
18 LOGARITHMIC TABLES TO THE BASE e
73374 0°08 50963 79200 41857 96378 995 29315 51963 70686 14356 96370 91679 52963 62161 87025 29999 96361 88569 53963 53627 59865 39999 96353 36760 54963 45083 32876 49999 96344
41742 55963 36529 06058 59999 96336 97779 56963 27964 79411 69999 96327 87962 57963 19390 52935 79999 96319 84255 58963 10806 26631 89999 96310 47553 59963 02212 00499 99999 96302
27730 60962 93607 74538 09999 96293 63693 61962 84993 48750 19999 96284 83427 62962 76369 23134 29999 96276 04055 63962 67734 97691 39999 96267 31879 64962 59090 72421 49999 96258
62435 65962 50436 47323 59999 96250 80541 66962 41772 22399 69999 96241 60350 67962 33097 97648 79999 96232 65392 68962 24413 73071 89999 96224 48629 69962 15719 48667 99999 96215
52502 70962 07015 24438 09999 96206 08979 71961 98301 00382 19999 96198 39602 72961 89576 76501 29999 96189 55535 73961 80842 52795 39999 96180 38863 57614 74961 72098 29263 49999 96171
60909 36391 715961 63344 05907 59999 96163 69923 72183 76961 54579 82725 69999 96154 65936 35116 77961 45805 59719 79999 96145 48976 85176 78961 37021 36888 89999 96136 19074 72252 79961 28227 14234 99999 96128
76259 36179 80961 19422 91755 09999 96119 20560 06791 81961 10608 69452 19999 96110 52006 03960 82961 01784 47326 29999 96101 10626 37643 83960 92950 25376 39999 96092 76450 07929 84960 84106 03604 49999 96083
69506 05080 85960 75251 82008 59999 96075 49823 09579 86960 66387 60589 69999 96066 17429 92170 : 87960 57513 39348 79999 96057 72355 13904 88960 48629 18284 89999 96048 14627 26185 89960 39734 97398 99999 96039
44274 70809 90960 30830 76690 09999 96030 61325 80009 91960 21916 56160 19999 96021 65808 76499 92960 12992 35808 29999 96012 97751 73514 93960 04058 15635 39999 96003 37182 74855 94959 95113 95641 49999 95994
04129 74930 95959 86159 75826 59999 95985 58620 58796 96959 77195 56190 69999 95976 00683 02199 97959 68221 36734 79999 95967 30344 71620 98959 59237 17457 89999 95958 47633 24310 99959 50242 98359 99999 95950
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 1)
.0309 00959 41238 79442
01959 32224 60705 507 02959 23200 42148 790 03959 14166 23772 649 04959 05577 283
52576 08337 91439 80461 45200 62623 65734 594 80572 25534 16985 41997 344 80682 93603 92176 49683 383 49436 99926 12143 985
95940 995 19999 95931 980 29999 95922 955 39999 95913 920 49999 95904
AAMAAADN
93060 42979 32960 81014 24501 15136 60293 597 81124 43786 01293 29384 785 - 81234 50941 77478 83367 469 45995 10895 72517
05958 96067 87562 893 06958 87003 69729 678 07958 77929 52077 838 08958 68845 34607 573 09958 59751 17319 084
59999 95895 820 69999 95886 755 79999 95877 680 89999 95868 595 99999 95859 500
ADAAAMN
.0'091 09999 95850 395 19999 95841 280 29999 95832 155 39999 95823 020 49999 95813
.0309 10958 50647 00212 570 11958 41532 83288 231 12958 32408 66546 267 13958 23274 49986 878 14958 33610 264
28972 59958 32094 -81563 99900 74331 38907 320 -81673 58805 94968 46753 742 - 81783 05714 54150 00861 036 40652 75521 31474
AAAARAMH
63646 74130 26727 -82110 74722 56464 84925 478 .82219 73906 20490 46385 250 82328 61223 55687 04957 262 82437 36700 43085 99365 921
15958 17416 16957 95812 01406 161 17957 86637 85579 071 18957 77453 69935 556 19957 68259 54475 816
59999 95804 720 69999 95795 555 79999 95786 380 89999 95777 195 99999 95768 000
DAAMOMNDD
07092 09999 95758 795 19999 95749 580 29999 95740 355 39999 95731 120 95721
.0309 20957 59055 39200 051 21957 49841 24108 460 22957 40617 09201 243 23957 31382 94478 601 24957 79940
00362 55306 84499 82654 52235 56593 82778 996 82762 92345 02852 15738 294 82871 20716 41684 15939 701 37375 12425 19356
AAANAD
42346 46179 38349 83195 35655 65855 15355 909 - 83303 17327 86200 57426 943 - 83410 87388 13838 51729 080 45861 47301 62134
25957 65587 26957 03620 51420 121 27956 94346 37437 776 28956 85062 23641 006 29956 75768 10030 009
59999 9571% 620 69999 95703 355 79999 95694 080 89999 95684 795 99999 95675 500
DARMADADD
92772 77067 07021 - 83733 28146 85591 18413 669 .83840 52008 47343 82559 124 - 83947 64382 28842 62094 676 65292 88686 99891
.0'093 09999 95666 195 19999 95656 880 29999 95647 555 39999 95638 220 95628
.0309 30956 66463 96604 987 31956 57149 83366 138 32956 47825 70313 664 33956 38491 57447 763
34956 44768
DARAAAnN
54764 77592 04709 84268 32822 38422 18779 634 84374 99490 06224 67419 266 84481 54792 08262 90807 401 98752 64049 58025
35956 19793 32276 483 36956 10429 19971 504 37956 01055 07853 898 38955 91670 95923 866 39955 82276 84181 608
59999 95619 520 69999 95610 155 79999 95600 780 89999 95591 395 99999 95582 000
ARARIMH
.0'094 09999 95572 595 19999 95563 180 29999 95553 755 39999 95544 320 49999 95534
. 0°09 40955 72872 72627 323 41955 63458 61261 211 42955 54034 50083 473 43955 44600 39094 308 44955 28 293
31395 85379 63481 -84800 52745 76363 05823 692
6 6 6.84906 62826 33457 49467 352 6 6
-85012 61661 45500 68828 498 49274
93742 75389
6 25690 51878 27695 6.85329 90931 86078 24396 913 6.85435 45022 55021 80440 266 6.85540 87986 09927 86514 560 950 |6.85646 19845 94586 51862
45955 17682 46955 16238 07260 253 47955 06763 97027 381 48954 97279 86984 082 77130
59999 95525 420 69999 95515 955 79999 95506 480 89999 95496 995 99999 95487
SMITHSONIAN LOGARITHMIC TABLES
20 LOGARITHMIC TABLES TO THE BASE e
0°09 50954 51954 52954 29999 53954 39999 54954 49999
55954 59999 56954 69999 - 86484 57954 79999 . 86589 589 54 89999 - 86693 59953 99999
- 86797 60953 09999 . 86901 48983 61953 19999 -87005 55609 62953 29999 - 87109 61430 63953 39999 -87212 92645 64953 49999
- 87316 99672 65953 59999 - 87419 32575 66953 69999 - 87523 01637 67953 79999 . 87626 23165 68953 89999 - 87729 50613 69952 99999
- 87832 91125 70952 09999 - 87935 07581 71952 19999 - 88038 06229 72952 29999 - 88141 10014 73952 39999 - 88243 17665 74952 49999
- 88346 48642 75952 59999 - 88448 74035 76952 69999 - 88550 33487 77952 79999 - 88653 38237 78952 89999 - 88755 60364 79951 99999
- 88857 08316 80951 09999 - 88959 88815 81951 19999 - 89060 55205 82951 29999 - 89162 42351 83951 39999 - 89264 88138 84951 49999
- 89365 41685 85951 59999 - 89467 58332 86951 69999 - 89568 81489 87951 79999 . 89669 11427 88951 89999 - 89770 61087 89950 99999
- 89871 98984 90950 09999 - 89972 79301 91950 19999 - 90073 59217 92950 29999 - 90173 03585 93950 39999 - 90274 77001 94950 49999
. 90374 23370 95950 59999 - 90475 33024 96950 69999 - 90575 97470 97950 79999 - 90675 51855 98950 89999 - 90775 05205 99950 99999
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 21
15220 .0°10 00949 90329 30923 94989 44810 01949 80315 31213 94979 61935 02949 70291 31704 29999 94969 51674 03949 60257 32395 39999 94959 93176 04949 50213 33287 49999 94949
59684 05949 40159 34380 59999 94939 18562 06949 30095 35674 69999 94929 31313 07949 20021 37169 79999 94919 53608 08949 09937 38866 89999 94909 35305 09948 99843 40765 99999 94899
20471 10948 89739 42866 09999 94889 47410 11948 79625 45168 19999 94879 48683 12948 69501 47674 29999 94869 51128 13948 59367 50382 39999 94859 75887 14948 49223 53292 49999 94848
38427 15948 39069 56406 59999 94838 48559 16948 28905 59722 69999 94828 10468 17948 18731 63243 79999 94818 22724 18948 08547 66966 89999 94808 78316 19947 98353 70894 99999 94798
64665 20947 88149 75025 09999 94787 63649 74361 21947 77935 79361 19999 94777 51626 48138 22947 67711 83901 29999 94767 99453 09417 23947 57477 88645 39999 94757 72508 55306 24947 47233 93594 49999 94746
30714 84361 25947 36979 98749 59999 94736 28558 23022 26947 26716 04108 69999 94726 15110 41718 27947 16442 09673 79999 94716 34049 60671 28947 06158 15443 89999 94705 23681 45478 29946 95864 21419 99999 94695
16959 92530 30946 85560 27601 09999 94685 41508 04311 31946 75246 33990 19999 94674 19638 54660 32946 64922 40584 29999 94664 68374 44030 33946 54588 47385 39999 94654 99469 44819 34946 44244 54393 49999 94643
19428 36830 35946 33890 61608 59999 94633 29527 32900 36946 23526 69030 69999 94623 25833 94774 37946 13152 76660 79999 94612 99227 39278 38946 02768 84497 89999 94602 35418 34832 39945 92374 92542 99999 94592
14968 88374 : 40945 81971 00795 09999 94581 13312 22750 41945 71557 09255 19999 94571 00772 44609 42945 61133 17925 29999 94560 42584 02880 43945 50699 26803 39999 94550 98911 37867 44945 40255 35889 49999 94539
24868 21022 45945 29801 45185 59999 94529 70536 85459 46945 19337 54690 69999 94518 80987 47240 47945 08863 64404 79999 94508 96297 17508 48944 98379 74328 89999 94497 51569 05511 49944 87885 84461 99999 94487
SMITHSONIAN LOGARITHMIC TABLES
-95749
- 95939 - 96034 - 96129
- 96224 - 96318 - 96413 - 96508 - 96602
- 96696 - 96790 - 96885 - 96979 - 97073
- 97166 - 97260 - 97354 - 97447 - 97541
- 97634 -97728 - 97821 -97914 - 98007
- 98100 - 98193 - 98286 - 98378 - 98471
- 98564 - 98656 - 98749 - 98841 - 98933
- 99025 -99117 - 99209 - 99301 - 99393
- 99484 -99576 - 99668 - 99759 - 99850
- 99942 . 00033 . 00124 «00215 - 00306
56124 03456 41871
71386 92018 03783 06699 00781
86047 62513 30195 89110 39274
80704 13416 37426 52750 59405
57407 46771 27514 99652 63201
18176 64594 02470 31819 52659
65004 68871 64274 51229 29752
99858 61563 14881 59829 96422
24675 44602 56220 59544 54587
01753 20140 25045 55951
47748 30747 30698 68809 61763
21729 56388 68942 58134 18265
39 208 06426 00990 99591 74559
93880 21209 15887 32960 23189
33070 04850 76538 81926 50601
07960 75230 69475 03621 86461
SMITHSONIAN LOGARITHMIC TABLES
12561 16992 50163 63559 87034
78254 63390 69103 45879 82757
13506 14282 92843 69336 48732
84933 36617 14854 22545 85732
76814 29733 47155 99699 17267
72505 56444 46368 65952 37703
27762 83098 61141 51893 92563
74765 44314 93675 47091 38439
81851 35138 56066 51504 19508
84356 24590 94095 36252 91209
.0310 50944 51944 52944 53944 54944
55944 56944 57944 58943 59943
60943 61943 62943 63943 64943
65943 66943 67942 68942 69942
70942 71942 72942 73942 74942
15942 76942 77941 78941 79941
80941 81941 82941 83941 84941
85941 86940 87940 88940 89940
90940 91940 92940 93940 94940
95939 96939 97939 98939 99939
T7381 66868 56344 45810 35266
24712 14148 03574 92990 82396
71793 61179 50555 39921 29277
18623 07959 97286 86602 75908
65204 54490 43766 33032 22289
11535 00771 89997 79213 68419
57616 46802 35978 25144 14300
03446 92583 81709 70825 59931
49027 38114 27190 16256 05312
94358 83395 72421 61437 50443
29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
LOGARITHMIC TABLES TO THE BASE e
22679 12859 53502 37040 51853
82280 08636 07229 50367 06379
39629 10527 75544 87229 94219
41256 69200 15044 11925 89140
72159 82641 38443 53636
38520
99635 39776 58004 49662 06386
16120 63128 28006 87697 15503
81096 50536 86276 47182 88541
62075 15955 94810 39743 88340
74684 29370 79511 48755 57295
SMITHSONIAN LOGARITHMIC TABLES
0°11 00939 01939 02939 03939 04938
05938 06938 07938 08938 09938
10938 11938 12938 13937 14937
15937 16937 17937 18937 19937
20937 21937 22936 23936 24936
25936 26936 27936 28936 29936
30936 31935 32935 33935 34935
35935 36935 37935 38935 39935
40934 41934 42934 43934 44934
45934 46934 47934 48933 49333
84103 05420 26957 48715 70693
92893 15314 37956 60819 83905
07212 30742 54493 78468 02665
27085 51728 76595 01685 26999
52537 78299 04286 30497 56933
83594 10480 37591 649 28 92490
20279 48 294 76535 05002 33697
62618 91767 21143 50746 80577
10637 40924 71440 02184 33157
64359 95790 27451 59341 91461
445 |.07110 09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
93938 93927 93916 93905 93894
93883 93872 93861 93850 93839
93828 93817 93806 93795 93783
93772 93761 93750 93739 93728
93716 93705 93694 93683 93671
93660 93649 93638 93626 93615
93604 93592 93581 93570 93558
93547 93536 93524 93513 93502
93490 93479 93467 93456 93444
93433 93421 93410 93398 93387
24 LOGARITHMIC TABLES TO THE BASE e
21882 55836 69059 68044 55893
32322 93676 32940 39751 00410
97891 11856 18664 91383 99800
10437 86555 88172 72068 91801
97717 36957 53475 88041 78259
58572 60276 11532 37370 59710
97362 66043 78386 43950 69231
57670 09668 22590 90781 05575
55300 25295 97916 52547 65611
10577 57973 75394 27514 68357 76091
SMITHSONIAN LOGARITHMIC TABLES
44405
30503 50759 77721 99145 56016
76196 03710 23708 83105 06937
10447 06924 11312 39622 04156
04569 14790 65822 24443 67826
.0311 50933 51933 52933 53933 54933
55933 56933 57932 58932 59932
60932 61932 62932 63932 649 32
65932 66931 67931 68931 69931
70931 71931 72931 73931 74930
75930 76930 77930 78930 79930
80930 81930 82930 83929 84929
85929 86929 87929 88929 89929
90929 91928 92928 93928 94928
95928 96928 97928 98928 99928
62124 50341 38547
26744 14930 03106 91273 79429
67576 55712 43838 31955 20061
08158 96244 84320 72387 60443
48490 36526 24553 12569 00575
09135 45658 82415
19406 56631 94091 31785 69714
07878 46277 84911 23781 62886
02228 41806 81620 21670 61958
02482 43244 84243 25479 66953
08665 50616 92804 35232 771898
20803 63947 07330 50953 94816
29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
93375 93364 93352 93341 93329
93318 93306 93295 93283 93272
93260 93248 93237 93225 93213
93202 93190 93178 93167 93155
93143 93132 93120 93108 93096
93085 93073 93061 93049 93038
93026 93014 93002 92990 92978
92967 92955 92943 92931 92919
92907 92895 92883 92871 92859
92847
LOGARITHMIC TABLES TO THE BASE e 25
79983 0°12 00927 88572 07120 09999 92787 995 95152 01927 76558 19999 92775 14678 02927 64535 29999 92763 68766 03927 52501 39999 92751 24755 04927 40458 49999 92739
87130 05927 28404 59999 92727 97531 06927 16341 08585 69999 92715 94760 07927 04267 54373 79999 92703 14792 08926 92184 00403 89999 92691 90786 09926 80090 46674 99999 92679
53092 10926 67986 93188 09999 92667 29259 11926 55873 39943 19999 92655 44050 12926 43749 86941 29999 92643 19443 13926 31616 34181 39999 92631 74648 14926 19472 81664 49999 92618
26112 15926 07319 29391 59999 92606 87527 16925 95155 77360 69999 92594 69842 17925 82982 25572 79999 92582 81271 18925 70798 74028 89999 92570 27302 19925 58605 22728 99999 92558
Aaa -+
10704 20925 46401 71672 09999 92545 31540 21925 34188 20860 19999 92533 87172 22925 21964 70293 29999 92521 72271 23925 09731 19970 39999 92509 78827 24924 97487 69891 49999 92496
le 7. ihe le 7.
96156 25924 85234 20058 59999 92484 10911 26924 72970 70470 69999 92472 07087 27924 60697 21127 79999 92460 66034 28924 48413 72029 89999 92447 66463 29924 36120 23178 99999 92435
Aqsa -
84453 30924 23816 74572 09999 92423 41440 93465 08683 31924 11503 26213 19999 92410 55031 64344 29810 32923 99179 78100 29999 92398 62044 65333 12341 33923 86846 30233 39999 92386 62490 62077 57066 34923 74502 82613 49999 92373
sad -+
56380 17636 08099 35923 62149 35241 59999 92361 43723 92487 89943 323 36923 49785 88115 69999 92349 24532 44541 41164 527 37923 37412 41237 79999 92336 98816 29142 44711 665 38923 25028 94606 89999 92324 66585 99082 54878 162 39923 12635 48223 99999 92312
ns sores
27852 04607 20934 164 40923 00232 02088 09999 92299 82624 93424 07440 972 41922 87818 56201 19999 92287 30915 10711 11264 408 42922 75395 10562 29999 92274 72732 99124 75303 046 43922 62961 65172 39999 92262 08088 98807 98947 148 44922 50518 20031 49999 92249
ada 34
36993 47398 45284 040 45922 38064 75139 59999 92237 59456 80036 45065 611 46922 25601 30496 69999 92224 75489 29372 97453 489 47922 13127 86102 79999 92212 85101 25577 67557 388 48922 00644 41958 89999 92199 88302 96346 80782 027 49921 88150 98063 99999 92187
aaa
SMITHSONIAN LOGARITHMIC TABLES
26 LOGARITHMIC TABLES TO THE BASE e
66911 0712 50921 75647 54419 60043 51921 63134 11024 96068 52921 50610 67880 29999 92866 53921 38077 24987 39999 65884 54921 25533 82344 49999
28143 55921 12980 39952 59999 90247 00416 97812 69999 60385 87843 55923 79999 44347 75260 14285 89999 45523 62666 72899 99999
64919 50063 31765 09999 01158 37449 90883 19999 50491 24826 50254 29999 06802 12193 09877 39999 61620 99549 69753 49999
04121 86896 29881 59999 21139 74232 90263 69999 97171 61559 50898 79999 14387 48876 11787 89999 52636 36182 72930 99999
89454 70919 23479 34326 09999 00067 71919 10765 95977 19999 57406 72918 98042 57882 32108 73918 85309 20042 92526 74918 72565 82456
04735 75918 59812 45125
32539 76918 47049 08050 91846 37480 77918 34275 71230 91833 18842 78918 21492 34665 91820 13662 79918 08698 98356 91808
96734 80917 95895 62303 09999 91795 80615 81917 83082 26506 19999 91782 15636 82917 70258 90966 29999 91769 49906 83917 57425 55682 39999 91756 29320 84917 44582 20655 49999 91743
97564 85917 31728 85884 59999 91731 92075 96126 86917 18865 51371 910 69999 91718 59066 64298 87917 05992 17116 204 79999 91705 20029 39187 88916 93108 83118 048 89999 91692 74973 55717 89916 80215 49377 642 99999 91679
23908 46642 90916 67312 15895 187 09999 91666
66843 42547 91916 54398 82670 881 19999 91653 680 03787 71857 92916 41475 49704 925 29999 91640 755 34750 60845 93916 28542 16997 519 39999 91627 820 59741 33638 94916 15598 84548 863 49999 91614 875
78769 12220 95916 02645 52359 156 59999 91601 920 91843 16443 96915 89682 20428 600 69999 91588 955 98972 64035 97915 76708 88757 392 79999 91575 980 00166 70599 98915 63725 57345 734 89999 91562 995 95434 49628 99915 50732 26193 826 99999 91550 000
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 27,
.0313 00915 37728 91536 17165 01915 24715 91523 17242 02915 11692 29999 91510 . 17319 03914 98659 39999 91497 .17395 04914 85615 49999 91484
- 17472 05914 72562 59999 91471 - 17548 06914 59499 69999 91458 - 17625 07914 46425 79999 91445 - 17701 08914 33342 89999 91432 - 17778 09914 20249 99999 91419
- 17854 10914 07146 09999 91406 - 17930 79695 04034 11913 94032 19999 91393 - 18006 98743 02796 12913 80909 29999 91380 - 18083 11990 44555 13913 67776 39999 91367 -18159 19446 11864 14913 54632 49999 91353
- 18235 21118 85262 15913 41479 59999 91340 - 18311 17017 43281 16913 28316 69999 91327 - 18387 07150 62452 17913 15143 79999 91314 - 18462 91527 17314 18913 01959 89999 91301 - 18538 70155 80416 19912 88766 99999 91288
- 18614 43045 22325 20912 75563 09999 91274 - 18690 10204 11631 21912 62350 19999 91261 -18765 71641 14955 22912 49126 29999 91248 . 18841 27364 96953 23912 35893 39999 91235 - 18916 77384 20322 24912 22650 49999 91221
-18992 21707 45807 25912 09397 59999 91208 . 19067 60343 32207 26911 96133 69999 91195 - 19142 93300 36379 27911 82860 79999 91182 - 19218 20587 13245 28911 69577 89999 91168 . 19293 42212 15799 29911 56284 99999 91155
- 19368 58183 95111 30911 42980 09999 91142 . 19443 68511 00334 31911 29667 19999 91128 . 19518 73201 78708 32911 16344 29999 91115 . 19593 72264 75569 33911 03011 39999 91102 - 19668 65708 34349 34910 89668 49999 91088
- 19743 53540 96591 35910 76314 59999 91075 - 19818 35771 01943 36910 62951 69999 91062 - 19893 12406 88173 37910 49578 79999 91048 - 19967 83456 91172 38910 36195 89999 91035 - 20042 48929 44957 39910 22801 99999 91022
- 20117 08832 81678 5 40910 09398 09999 91008 - 20191 63175 31627 41909 95985 19999 90995 - 20266 11965 23237 42909 82562 29999 90981 - 20340 55210 83094 43909 69129 39999 90968 . 20414 92920 35939 44909 55685 49999 90954
- 20489 25102 04673 45909 42232 59999 90941 - 20563 51764 10363 46909 28769 69999 90927 - 20637 72914 72252 47909 15296 79999 90914 - 20711 88562 07755 48909 01813 89999 90900 - 20785 98714 32475 49908 88320 99999 90887
SMITHSONIAN LOGARITHMIC TABLES
28 LOGARITHMIC TABLES TO THE BASE e
03379 85696 0313 50908 74816 86557 90873 02566 40035 51908 61303 69188 90860 96281 03932 52908 47780 52088 29999 90846 84534 30265 53908 34247 35260 39999 90833 67333 27469 54908 20704 18702 49999 90819
44685 87881 55908 07151 02415 59999 90806 16598 14142 56907 93587 86400 69999 90792 83081 18641 43663 57907 80014 70655 79999 90779 44141 51143 71158 58907 66431 55182 89999 90765 99787 30097 69251 59907 52838 39981 99999 90752
50026 51466 07179 60907 39235 25052 09999 90738 94867 09457 67582 61907 25622 10395 19999 90724 34316 96532 61400 62907 11998 96010 29999 90711 68384 03407 40882 63906 98365 81898 39999 90697 97076 19060 10715 64906 84722 68059 49999 90683
20401 30735 37280 65906 71069 54493 59999 90670 38367 23949 56044 66906 57406 41199 69999 90656 50981 82495 77105 67906 43733 28179 79999 90642 58252 88448 88873 68906 30050 15433 89999 90629 60188 22170 59933 69906 16357 02960 99999 90615
56795 62314 39058 70906 02653 90762 09999 90601 48082 85830 53415 71905 88940 78837 19999 90588 34057 67971 04940 72905 75217 67187 29999 90574 14727 82294 64925 73905 61484 55811 39999 90560
90101 00671 66786 74905 47741 44710 49999 90546
60184 93288 97055 75905 33988 33884 59999 90533 24987 28654 84583 76905 20225 23333 69999 90519 84515 73603 87961 77905 06452 13058 79999 90505 38777 93301 81188 78904 92669 03058 89999 90491 87781 51250 37563 79904 78875 93334 99999 90478
31534 09292 11835 80904 65072 83885 09999 90464 195 70043 27615 20602 81904 51259 74713 19999 90450 380 03316 64758 20976 82904 37436 65817 29999 90436 555 31361 77614 87518 83904 23603 57198 39999 90422 720 54186 21438 87447 84904 09760 48856 49999 90408 875
T1797 49848 54137 85903 95907 40790 59999 90395 84203 14831 58910 86903 82044 33002 69999 90381 91410 66749 81118 87903 68171 25491 79999 90367 93427 54343 76547 88903 54288 18257 89999 90353 90261 24737 44120 89903 40395 11301 99999 90339
81919 23442 90935 90903 26492 04623 09999 90325 68408 94364 95624 91903 12578 98224 19999 90311 49737 79805 70051 92902 98655 92102 29999 90297 25913 20469 19353 93902 84722 86260 39999 90283 96942 55466 00332 94902 70779 80696 49999 90269
62833 22317 78203 95902 56826 75410 59999 90255 23592 56961 81710 96902 42863 70404 69999 90241 . 79227 93755 56611 97902 28890 65678 79999 90227 . 24351 29746 65481 17539 98902 14907 61231 89999 90213 - 24422 75156 03349 98255 99902 00914 57063 99999 90200
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e
37007 94535 02460 85756 67846
70610 14389 17987 98680 72213
52814 53187 84527 56518 17337
53665 90680 92072 60042 95306
97100 63186 89852 71921 02750
74241 76836 99529 29867 53952
56450 20590 28171 59565 93721
08169 79024 80991 87367 70046
99522 44894 73870 52771 46532
18709 31483 45661 20682 14620
SMITHSONIAN LOGARITHMIC TABLES
.0714 00901 01901 02901 03901 04901
05901 06901 07900 08900 09900
10900 11900 12900 13900 14899
15899 16899 17899 18899 19899
20899 21898 22898 23898 24898
25898 26898 27898 28897 29897
30897 31897 32897 33897 34897
35896 36896 37896 38896 39896
40896 41896 42895 43895 44895
45895 46895 47895 48895 49894
30799
16746 02683 88610 74527 60434
46331 32218 18095 03962 89819
15666 61503 47330 33147 18954
04751 90538 76315 62082 47839
33586 19323 05050 90767 76474
62171 47858 33535 19202 04859
90506 76144 61771 47388 32995
18592 04179 89756 75323 60880
46427 31964 17491 03008 88516
53176 49569 46242 43195 40429
37945 35741 33819 32178 30819
29742 28947 28435 28205 28258
28593 29212 30114 31300 32769
34523 36560 38882 41488 44380
47556 51017 54763 58795 63113
67717 12607 T7183 83246 88996
95032 01356 07967 14865 22051
29525 37288 45338 53677 62305
71222 80428 89923 99708 09783
310 |.07140 09999 90185 90171
29999 90157
39999 90143
49999 90129
59999 90115 69999 90101 79999 90087 89999 90073 99999 90059
09999 90045 19999 90031 29999 90017 39999 90003 49999 89988
59999 89974 69999 89960 79999 89946 89999 89932 99999 89918
09999 89903 19999 89889 29999 89875 39999 89861 49999 89846
59999 89832 69999 89818 79999 89804 89999 89789 99999 89775
09999 89761 19999 89746 29999 89732 39999 89718 49999 89703
59999 89689 69999 89675 79999 89660 89999 89646 99999 89632
09999 89617 19999 89603 29999 89588 39999 89574 49999 89559
59999 89545 69999 89530 79999 89516 89999 89501 99999 89487
29
30 LOGARITHMIC TABLES TO THE BASE e
84187 84655 005 | .0°14 50894 74013 89472 84741 39835 360 51894 59500 89458 70282 90373 274 52894 44977 29999 89443 93464 67532 53894 30444 39999 89429 05592 88811 54894 15901 49999 89414
56631 27882 55894 01348 59999 89400 95204 83275 56893 86785 69999 89385 - 28482 09125 68603 45778 57893 72213 79999 89371 - 28550 65485 22785 64599 58893 57630 89999 89356 - 28619 17147 02382 12252 59893 43037 99999 89342
- 28687 64117 50699 48212 60893 28434 09999 89327 - 28756 06403 09723 81313 61893 13821 19999 89312 - 28824 44010 20124 30917 62892 99198 29999 89298 - 28892 76945 21256 86839 63892 84565 39999 89283 - 28961 05214 51167 68054 64892 69922 49999 89268
- 29029 28824 46596 80168 65892 55270 59999 89254 - 29097 47781 42981 71685 66892 40607 25574 69999 89239 . 29165 62091 74460 89045 67892 25934 40898 79999 89224 - 29233 71761 73877 30463 68892 11251 56516 89999 89210 . 29301 76797 72781 98562 69891 96558 72427 99999 89195
. 29369 77206 01437 51804 70891 81855 88632 09999 89180 - 29437 72992 88821 54731 71891 67143 05132 19999 89166 - 29505 64164 62630 27012 72891 52420 21925 29999 89151 . 29573 50727 49281 91314 73891 37687 39014 39999 89136 - 29641 32687 73920 19981 74891 22944 56397 49999 89121
. 29709 10051 60417 80549 75891 08191 74075 59999 89107 - 29776 82825 31379 80084 76890 93428 92048 69999 89092 . 29844 51015 08147 08363 77890 78656 10316 79999 89077 - 29912 14627 10799 79882 78890 63873 28880 89999 89062 - 29979 73667 58160 74722 79890 49080 47740 99999 89048
- 30047 28142 67798 78250 80890 34277 66895 09999 89033 . 30114 78058 56032 19687 81890 19464 86347 19999 89018 . 30182 23421 37932 09525 82890 04642 06095 29999 89003 - 30249 64237 27325 75808 83889 89809 26140 39999 88988 - 30317 00512 36799 99284 84889 74966 46481 49999 88973
- 30384 32252 77704 47427 85889 60113 67119 59999 88959 - 30451 59464 60155 07332 86889 45250 88055 69999 88944 . 30518 82153 93037 17499 87889 30378 09287 79999 88929 - 30586 00326 84008 98492 88889 15495 30818 89999 88914 - 30653 13989 39504 82501 89889 00602 52646 99999 88899
- 30720 23147 64738 41783 90888 85699 74771 09999 88884 . 30787 27807 63706 16017 91888 70786 97196 19999 88869 - 30854 27975 39190 38552 92888 55864 19918 29999 88854 . 30921 23656 92762 61568 93888 40931 42939 39999 88839 - 30988 14858 24786 80146 94888 25988 66258 49999 88824
- 31055 01585 34422 55256 95888 11035 89877 59999 88809 - 31121 83844 19628 35668 96887 96073 13795 69999 88794 . 31188 61640 77164 78782 97887 81100 38012 79999 88779 - 31255 34981 02597 70397 98887 66117 62528 89999 88764 - 31322 03870 90301 43403 99887 51124 87345 99999 88750
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 31
68316 33461 95418 .0715 00887 36122 12461 88734 28323 24080 05367 01887 21109 37877 88719 83897 52974 49005 02887 06086 63594 29999 88704 35045 09785 13390 03886 91053 89611 39999 88689 - 31654 81771 82976 10317 04886 76011 15929 49999 88674
- 31721 24083 59838 88703 05886 60958 42548 59999 88659 - 31787 61986 26495 45937 06886 45895 69468 69999 88644 - 31853 95485 67901 38207 07886 30822 96690 79999 88629 - 31920 24587 67848 89781 08886 15740 24213 89999 88614 - 31986 49298 08970 01281 09886 00647 52037 99999 88599
- 32052 69622 72739 56924 10885 85544 80164 09999 88584 - 32118 85567 39478 30754 11885 70432 08593 19999 88569 - 32184 97137 88355 91856 12885 55309 37324 29999 88554 - 32251 04339 97394 08569 13885 40176 66357 39999 88539 . 32317 07179 43469 51688 14885 25033 95693 49999 88523
- 32383 05662 02316 96665 15885 09881 25333 59999 88508 - 32448 99793 48532 24823 16884 94718 55275 69999 88493 - 32514 89579 55575 23568 17884 79545 85521 19999 88478 - 32580 75025 95772 85613 18884 64363 16070 89999 88463 - 32646 56138 40322 07227 19884 49170 46923 99999 88448
- 32712 32922 59292 85489 20884 33967 78080 09999 88432 - 32778 05384 21631 14577 21884 18755 09541 19999 88417 . 32843 73528 95161 81077 22884 03532 41306 29999 88402 - 32909 37362 46591 58327 23883 88299 73376 39999 88387 - 32974 96890 41511 99795 24883 73057 05751 49999 88371
- 33040 52118 44402 31489 25883 57804 38430 59999 88356 - 33106 03052 18632 43423 26883 42541 71415 69999 88341 - 33171 49697 26465 80110 27883 27269 04705 719999 88326 - 33236 92059 29062 30125 28883 11986 38300 89999 88310 - 33302 30143 86481 14705 29882 96693 72202 99999 88295
- 33367 63956 57683 75418 30882 81391 06409 09999 88280 - 33432 93503 00536 60882 31882 66078 40922 19999 88264 - 33498 18788 71814 12559 32882 50755 75742 29999 88249 - 33563 39819 27201 49608 33882 35423 10868 39999 88234 - 33628 56600 21297 52819 34882 20080 46301 49999 88218
. 33693 69137 07617 47615 35882 04727 82041 59999 88203 - 33758 77435 38595 86132 36881 89365 18088 69999 88188 - 33823 81500 65589 28394 37881 73992 54442 79999 88172 - 33888 81338 38879 22559 38881 58609 91104 89999 88157 . 33953 76954 07674 84260 39881 43217 28073 99999 88142
- 34018 68353 \20115 75047 40881 27814 65351 09999 88126 - 34083 55541 23274 79916 41881 12402 02936 19999 88111 - 34148 38523 63160 83940 42880 96979 40830 29999 88095 . 34213 17305 84721 48010 43880 81546 79033 39999 88080 . 34277 91893 31845 83676 44880 66104 17544 49999 88064
- 34342 62291 47367 27103 45880 50651 56364 59999 88049 - 34407 28505 73066 12140 46880 35188 95493 69999 88033 . 34471 90541 49672 42509 47880 19716 34932 79999 88018 . 34536 48404 16868 63110 48880 04233 74680 89999 88002 - 34601 02099 13292 30454 49879 88741 14738 99999 87987
SMITHSONIAN LOGARITHMIC TABLES
32 LOGARITHMIC TABLES TO THE BASE e
51631 76538 0715 50879 55106 97007 43164 51879 95784 38231 48687 52879 36772 29999 75309 27592 53879 78071 39999 08246 13334 54879 19680 49999
37047 38336 55878 61600 59999 61718 33998 56878 03832 69999 82264 30693 57878 46375 79999 98690 57776 58878 89229 89999 11002 43582 59878 32395 99999
19205 15432 60878 75873 09999 23303 99631 61878 19664 19999 23304 21476 62877 63766 29999 19211 05256 63877 08181 39999 11029 74253 64877 52909 49999
98765 50748 65877 97949 59999 82423 56020 66877 43303 69999 62009 10353 67877 08164 88970 79999 37527 33032 68876 92482 34951 89999 08983 42353 69876 76789 81245 99999
76382 55621 70876 61087 27854 09999 39729 89151 71876 45374 74776 19999 99030 58277 72876 29652 22013 ;« 29999 54289 77348 73876 13919 69564 39999 05512 59733 74875 98177 17430 49999
52704 17824 75875 82424 65611 59999 95869 63038 76875 66662 14107 69999 35014 05819 77875 50889 62919 79999 70142 55642 78875 35107 12045 89999 01260 21012 79875 19314 61488 99999
28372 09472 ‘ 80875 03512 11247 09999 51483 27599 81874 87699 61321 19999 70598 81012 82874 71877 11712 29999 85723 74371 83874 56044 62420 39999 96863 11380 84874 40202 13444 49999
04021 94793 85874 24349 64785 59999 07205 26409 86874 08487 16444 69999 06418 07081 87873 92614 68419 79999 01665 36715 88873 76732 20712 89999 92952 14277 89873 60839 73323 99999
80283 37786 : 90873 44937 26252 09999 63664 04328 91873 29024 79499 19999 43099 10048 92873 13102 33064 29999 18593 50160 93872 97169 86948 39999 90152 18944 94872 81227 41151 49999
57780 09754 95872 65274 95672 59999 21482 15012 96872 49312 50513 69999 81263 26219 97872 33340 05672 79999 37128 33954 98872 17357 61152 89999 89082 27872 99872 01365 16951 99999
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 33
.0°16 00871 85362 73070 87183 01871 69350 29509 87167 02871 53327 86269 29999 87151 03871 37295 43349 39999 87135 04871 21253 00749 49999 87119
05871 05200 58471 59999 87103 06870 89138 16514 69999 87087 07870 73065 74878 79999 87071 08870 56983 33564 89999 87055 09870 40890 92571 99999 87039
10870 24788 51900 09999 87023 11870 08676 11552 19999 87007 12869 92553 71525 29999 86991 13869 76421 31821 39999 86975 14869 60278 92440 49999 86958
15869 44126 53382 59999 86942 78595 16869 27964 14647 69999 86926 60976 17869 11791 76236 79999 86910 39536 18868 95609 38147 89999 86894 14282 19868 79417 00383 99999 86878
85217 : 20868 63214 62943 09999 52346 21868 47002 25826 19999 15675 22868 30779 89034 29999 75207 23868 14547 52567 39999 30947 24867 98305 16424 49999
82901 25867 82052 80606 59999 31072 26867 65790 45113 69999 15465 27867 49518 09946 79999 16086 28867 33235 75104 89999 52938 29867 16943 40587 99999
86026 30867 00641 06397 09999 15355 31866 84328 72533 19999 40929 32866 68006 38995 29999 62754 33866 51674 05784 39999 80833 34866 35331 72899 49999
95171 35866 18979 40341 59999 05773 36866 02617 08111 69999 12644 37865 86244 76207 79999 15787 38865 69862 44632 89999 15208 39865 53470 13384 99999
10910 40865 37067 82464 09999 02900 41865 20655 51872 069 19999 91180 42865 04233 21608 399 29999 75756 43864 87800 91673 247 39999 56631 44864 71358 62066 814 49999
33812 45864 54906 32789 300 59999 07301 46864 38444 03840 905 69999 77104 47864 21971 75221 828 79999 43225 48864 05489 46932 270 89999 05668 49863 88997 18972 430 99999
SMITHSONIAN LOGARITHMIC TABLES
34 LOGARITHMIC TABLES TO THE BASE e
64439 19540 70978 18755 62878
03349 40174 73356 02901 28813
51096 69754 84791 96213 04024
08227 08827 05829 99236 89054
75285 57936 37009 12510 84442
52810 17618 78870 36570 90723
41334 88405 31941 71948 08427
41385 70825 96751 19168 38079
53488 65401 73821 78752 80198
78163 72652 63668 51216 35300
SMITHSONIAN LOGARITHMIC TABLES
00910 37455 17858 62390 27538
00184 91190 28400 49067 91691
87285 50068 67572 90197 20175
99987
‘00199
06741 07632 79127
71330 93232 97206 62953 80887
34986 85092 48662 81989 60877
60773 36378 00710 03642 09910
76591 30057 42399 07339 15612
29832 58844 31557 10264 63457
38123 31535 62545 02361 448 28
0316 50863 51863 52863 53863 54863
55862 56862 57862 58862 59862
60862 61861 62861 63861 64861
65861 66861 67860 68860 69860
70860 71860 72860 73859 74859
75859 76859 T1859 78859 79858
80858 81858 82858 83858 84858
85857 86857 87857 88857 89857
90857 91856 92856 93856 94856
95856 96856 97855 98855 99855
72494 55982 39460 22928 06385
89833 73271 56699 40116 23524
06922 90310 73687 57055 40413
23761 07098 90426 13744 57052
40350 23637 06915 90183 73441
56689 39926 23154 06372 89580
712778 55965 39143 22311 05469
88617 71755 54883 38000 21108
04206 87294 70372 53440 36498
19545 02583 85611 68629 51637
91342 64042 37073 10434 84126
58148 32502 07187 82204 57552
33232 09245 85589 62267 39276
16619 94295 72305 50647 29324
08334 87679 67358 47371 27719
08402 89420 10774 52463 34487
16848 99545 82578 65947 49653
33697 18077 02794 87850 73242
58973 45042 31449 18195 05279
92702 80465 68567 57008 45789
509 |.07165 09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
86370 86354 86337 86321 86304
86288 86271 86255 86238 86222
86205 86188 86172 86155 86138
86122 86105 86088 86072 86055
86038 86022 86005 85988 85971
85955 85938 85921 85904 85888
85871 85854 85837 85820 85803
85787 85770 85753 85736 85719
85702 85685 85668 85651 85634
85617 85600 85583 85566 85550
LOGARITHMIC TABLES TO THE BASE e 35
95861 .0°17 00855 34635 34910 124|.07170 09999 85532 33319 01855 17623 24371 85515 62688 02855 00601 14172 29999 85498 89261 03854 83569 04314 39999 85481 17617 04854 66526 94796 49999 85464
51624 05854 49474 85620 59999 85447 94440 61237 06854 32412 76784 69999 85430 48515 17269 07854 15340 68290 79999 85413 15590 88973 08853 98258 60137 89999 85396 96705 52681 09853 81166 52327 99999 85379
92193 47779 : 10853 64064 44858 09999 85362 01687 41097 11853 46952 37731 19999 85345 24119 90812 12853 29830 30946 29999 85328 57725 09881 13853 12698 24504 39999 85311 00040 28991 14852 95556 18405 49999 85293
47907 59034 15852 78404 12648 59999 85276 97475 53113 16852 61242 07235 69999 85259 44200 68073 17852 44070 02165 79999 85242 82849 25564 18852 26887 97438 89999 85225 07498 72632 19852 09695 93056 99999 85208
11539 41851 20851 92493 89017 09999 85190 87676 10978 21851 75281 85322 19999 85173 27929 62158 22851 58059 81971 29999 85156 23638 40658 23851 40827 78965 39999 85139 65460 13140 24851 23585 76304 49999 85121
43373 25485 25851 06333 73988 59999 85104 46678 60148 26850 89071 72017 69999 85087 64000 93068 27850 71799 70391 79999 85070 83290 50116 28850 54517 69110 89999 85052 91824 63095 29850 37225 68176 99999 85035
76209 25287 5 30850 19923 67587 09999 85018 22380 46555 31850 02611 67344 19999 85000 15606 07993 32849 85289 67448 29999 84983 40487 16131 33849 67957 67898 39999 84966 80959 56695 34849 50615 68695 49999 84948
20295 47928 35849 33263 69839 59999 84931 41104 93464 36849 15901 71329 69999 84914 25337 34765 37848 98529 73168 T1999 84896 54283 03118 38848 81147 75353 89999 84879 08574 71201 39848 63755 77887 99999 84862
68189 04201 . 40848 46353 80768 09999 84844 12448 10514 41848 28941 83998 19999 84827 20020 91997 42848 11519 87575 29999 84809 68924 93804 43847 94087 91502 39999 84792 36527 53780 44847 76645 95776 49999 84774
99547 51432 45847 59194 00400 59999 84757 34056 56479 46847 41732 05373 69999 84739 15480 76965 47847 24260 10696 79999 84722 18602 06960 48847 06778 16367 89999 84704 17559 73832 49846 89286 22389 99999 84687
SMITHSONIAN LOGARITHMIC TABLES
36 LOGARITHMIC TABLES TO THE BASE e
85101 .0°17 50846 28760 84669 74873 51846 35482 84652 49856 52846 42554 29999 84634 34960 53846 49976 39999 84617 18483 54846 57749 49999 84599
96882 55845 65873 59999 84582 19132 56845 74348 69999 84564 30675 57845 83174 79999 84547 16960 58845 92352 89999 84529 46574 59845 01882 99999 84512
13969 60844 11763 09999 84494 81778 61844 21997 19999 84476 22733 62844 32583 29999 84459 61183 63844 43521 39999 84441 14199 64844 54812 49999 84423
32294 65844 66456 59999 84406 39733 66843 78453 69999 84388 74455 67843 90804 79999 84370 27593 68843 03508 89999 84353 82602 69843 16565 99999 84335
53997 70843 29977 09999 84317 25692 71843 43743 19999 84300 88957 72842 57862 29999 84282 79982 73842 72337 39999 84264 17053 74842 87166 49999 84246
37343 75842 02350 59999 84229 33317 76842 17889 69999 84211 88757 77841 33784 79999 84193 14394 78841 50034 89999 84175 83175 79841 66640 99999 84158
65136 80841 83601 09999 84140 16080 61906 81841 00919 19999 84122 26178 40823 82841 18593 29999 84104 33131 68688 83840 36623 39999 84086 36942 45135 84840 55011 49999 84068
37614 35624 85840 73755 59999 84051 35151 04076 86840 92856 69999 84033 29557 45122 87840 12314 79999 84015 20835 15989 88839 32130 89999 83997 08988 68019 89839 52304 99999 83979
94020 77820 90839 712836 09999 83961 75935 78044 91839 93726 19999 83943 54736 87812 92839 14974 29999 83925 30426 42767 93839 36580 39999 83907 03009 24764 94838 58545 49999 83889
72488 91208 95838 80870 59999 83871 38867 04020 96838 03553 69999 83853 02150 58252 97838 26595 79999 83835 62339 10345 98838 49998 89999 83817 19438 06024 99838 73759 99999 83800
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 37
75956 .0°18 00837 83941 83781 68283 01837 65930 83763 03317 02837 47908 29999 83745 22568 03837 29876 39999 83727 66981 04837 11834 49999 83709
76930 05836 93783 59999 83691 92228 06836 75721 69999 83673 52121 07836 57649 79999 83655 95295 08836 39568 89999 83637 99871 09836 21476 99999 83619
83413 10836 03374 09999 83601 02924 11835 85262 19999 83583 12835 67141 29999 83565 13835 49009 39999 83547 14835 30867 49999 83528
Asaasa-+
15835 12716 59999 83510 16834 94554 69999 83492 17834 76382 79999 83474 18834 58200 89999 83456 19834 40009 99999 83438
Aasa-s4 +4
20834 21807 09999 83419 21834 03595 19999 83401 22833 85374 29999 83383 23833 67142 39999 83365 24833 48900 49999 83346
1 ue 7. 7. 7.
25833 30649 59999 83328 26833 12387 69999 83310 27832 94115 79999 83292 28832 75834 89999 83273 29832 57542 99999 83255
sasanas4
30832 39240 09999 83237 31832 20929 19999 83218 32832 02607 29999 83200 33831 84275 39999 83182 34831 65934 49999 83163
Re ee
35831 47582 59999 83145 36831 29221 69999 83127 37831 10849 79999 83108 38830 92467 89999 83090 39830 74076 99999 83072
oe
. 51806 40830 55674 09999 83053 - 51860 41830 37262 19999 83035 - 51914 42830 18841 29999 83016 - 51969 43830 00409 39999 82998 . 52023 44829 81968 49999 82979
Aaa +1
- 52077 45829 63516 59999 82961 - 52131 96141 46829 45054 69999 82942 - 52185 46881 47829 26583 79999 82924 - 52240 84694 48829 08101 89999 82905 - 52294 50298 49828 89610 99999 82887
NAanasa+4
SMITHSONIAN LOGARITHMIC TABLES
38 LOGARITHMIC TABLES TO THE BASE e
13125 0318 50828 14152 51828 12262 52828 29999 07461 53828 39999 99750 54827 49999
89133 55827 59999 75613 56827 69999 59193 578 27 79999 39877 588 27 89999 17667 59827 99999
92566 608 26 09999 - 52940 64578 61826 19999 - 52994 33706 62826 29999 - 53047 99952 63826 39999 .53101 63320 648 26 49999
- 53155 23814 65825 59999 - 53208 81435 66825 69999 . 53262 36187 67825 79999 - 53315 88074 68825 89999 . 53369 37098 69825 99999
. 53422 83262 : 10824 09999 - 53476 26570 35651 71824 19999 - 53529 67024 51338 72824 29999 - 53583 04627 49721 73824 39999 - 53636 39384 18979 74824 49999
- 53689 71295 98 360 75824 59999
- 53743 00365 81880 76823 86558 69999 82384 . 53796 26597 21749 77823 67787 79999 82365 - 53849 49994 31520 78823 49006 89999 82346 - 53902 70558 88967 79823 30214 99999 82328
- 53955 88293 38686 80823 11413 09999 82309 - 54009 03201 94422 81822 92601 19999 82290 - 54062 15286 41132 82822 73780 29999 82271 -54115 24551 36765 83822 54948 39999 82252 - 54168 30998 13783 84822 36107 49999 82233
- 54221 34631 80409 85822 17255 59999 82215 - 54274 35453 21601 86821 98394 69999 82196 . 54327 33467 05445 99770 87821 79522 79999 82177 - 54380 28675 01509 55220 88821 60641 89999 82158 . 54433 21080 53688 06330 89821 41750 99999 82139
. 54486 10686 58457 49468 90821 22848 09999 82120 - 54538 97496 11823 58636 91821 03937 19999 82101 -54591 81512 09322 84867 92820 85015 29999 82082 - 54644 62737 46023 55338 93820 66084 39999 82063 -54697 41175 16526 72241 94820 47143 49999 82044
.54750 16828 14967 11381 95820 28191 59999 82025 . 54802 89699 35014 20520 96820 09230 69999 82006 - 54855 59791 69873 17456 97819 90258 79999 81987 - 54908 27108 12285 87853 98819 71277 89999 81968 .54960 91651 54531 82804 99819 52286 99999 81950
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 39
53424 88429 0°19 00819 33284 81930 995 12431 05335 01819 14273 81911 980 68672 96149 02818 95251 29999 81892 955 22153 51310 03818 76220 39999 81873 920 72875 60801 04818 57179 49999 81854 875
20842 14147 05818 38127 59999 81835 820 66056 00419 06818 19066 69999 81816 755 08520 08231 07817 99995 79999 81797 680 48237 25747 08817 80913 89999 81778 595 85210 40675 09817 61822 99999 81759 500
19442 40273 10817 42720 09999 81740 395 50936 11346 11817 23609 19999 81721 280 79694 40252 12817 04488 29999 81702 155 05720 12899 13816 85356 39999 81683 020 29016 14746 14816 66215 49999 81663
49585 30805 15816 47064 59999 81644 67430 45644 16816 27902 69999 81625 82554 43383 17816 08731 79999 81606 94960 07699 18815 89550 89999 81587 04650 21827 19815 70358 99999 81568
11627 68556 20815 51157 09999 81548 15895 30237 21815 31946 33537 19999 81529 17455 88779 22815 12725 03067 29999 81510 16312 25651 23814 93493 72981 39999 81491 12467 21884 24814 74252 43280 49999 81471
05923 58070 25814 55001 13963 59999 81452 96684 14366 26814 35739 85032 69999 81433 84751 70490 27814 16468 56486 79999 81414 70129 05729 28813 97187 28326 89999 81394 52818 98931 29813 77896 00551 99999 81375
32824 28514 30813 58594 73162 09999 81356 10147 72463 31813 39283 46159 19999 81336 84792 08330 32813 19962 19543 29999 81317 56760 13239 33813 00630 93313 39999 81298 26054 63882 34812 81289 67469 49999 81278
92678 36522 35812 61938 42013 59999 81259 56634 06995 36812 42577 16944 69999 81240 17924 50711 37812 23205 92261 79999 81220 76552 42651 38812 03824 67967 89999 81201 32520 57373 39811 84433 44060 99999 81182
85831 69010 40811 65032 20541 09999 81162 36488 51270 41811 45620 97410 19999 81143 84493 77440 42811 26199 74667 29999 81123 29850 20384 43811 06768 52313 39999 81104 72560 52546 44810 87327 30348 49999 81084
12627 45950 45810 67876 08771 59999 81065 50053 72199 46810 48414 87584 69999 81045 84842 02480 47810 28943 66785 79999 81026 16995 07560 48810 09462 46377 89999 81006 46515 57792 49809 89971 26358 99999 80987
SMITHSONIAN LOGARITHMIC TABLES
40 LOGARITHMIC TABLES TO THE BASE e
23111 21103 .0719 50809 80967 73037 79583 51809 80948 76678 93382 52809 29999 80928 02728 04977 53809 39999 80909 19466 14565 54808 32115 49999 80889
94762 64429 55808 14438 59999 80870 96076 23077 56808 97152 69999 80850 90455 69179 57808 80258 79999 80831 44540 75280 58808 63755 89999 80811 24562 91306 59807 47644 99999 80792
96346 27851 ; 60807 31925 09999 80772 25308 39258 61807 55297 16597 19999 80752 76461 06484 62807 35676 01662 29999 80733 14411 19756 63807 16044 87120 39999 80713 03361 61014 64806 96403 72970 49999 80693
07111 86147 65806 76752 59213 59999 80674 89059 07021 66806 57091 45850 69999 80654 12198 73293 67806 37420 32879 79999 80634 39125 54023 68806 17739 20302 89999 80615 32034 19079 69805 98048 08119 99999 80595
52720 20327 70805 78346 96329 09999 80575 62580 72626 71805 58635 84934 19999 80556 22615 34611 72805 38914 73933 29999 80536 93426 89273 73805 19183 63326 39999 80516 35222 24337 74804 99442 53114 49999 80496
07813 12431 75804 79691 43297 59999 80477 70616 91059 76804 59930 33875 69999 80457 82657 42369 77804 40159 24848 79999 80437 02565 72716 78804 20378 16217 89999 80417 88580 92028 79804 00587 07982 99999 80398
98550 92975 80803 80786 00142 09999 89933 29926 81803 60974 92699 19999 19795 97723 82803 41153 85651 29999 44818 10243 83803 21322 79001 39999 21290 78768 84803 01481 72746 49999
05117 90159 85802 81630 66889 59999 51816 84830 86802 61769 61429 69999 16519 34526 87802 41898 56366 79999 53972 19909 88802 22017 51701 89999 18538 07942 89802 02126 47433 99999
64196 29090 4 90801 82225 43563 09999 44543 54312 91801 62314 40092 19999 12794 92801 42393 37018 29999 21783 93801 22462 34343 39999 23963 94801 02521 32067 49999
71409 95800 82570 30189 59999 15815 96800 62609 28711 69999 08498 97800 42638 27632 79999 00400 98800 22657 26952 89999 42082 36147 99800 02666 26673 99999 80000 000
SMITHSONIAN LOGARITHMIC TABLES
- 60140 - 60190 - 60240 - 60290 - 60339
- 60389 - 60439 - 60489 - 60539 - 60589
- 60638 - 60688 - 60738 - 60787 - 60837
- 60887 - 60936 - 60986 - 61035 - 61085
- 61134 - 61184 - 61233 - 61283 - 61332
- 61381 - 61431 - 61480 - 61529 - 61579
- 61628 - 61677 - 61726 - 61775 - 61825
- 61874 - 61923 - 61972 - 62021 - 62070
- 62119 - 62168 - 62217 - 62266 - 62315
- 62364 - 62413 - 62461 - 62510 - 62559
23345 19598 13356 04622 93397
79685 63487 44808 23648 00010
73897 45312 14256 80732 44743
06291 65379 22009 76183 27903
T1174 23995 68371 10304 49795
86848 21464 53647 83398 10720
35615 58086 78136 95766 10978
23776 34162 42137 47705 50868
51628 49987 45948 39513 30684
19465 05856 89861 71482 50721
LOGARITHMIC TABLES TO THE BASE e
83733 75165 65818 04755 40669
21880 96338 11619 14934 53121
72652 19629 39791 78507 80783
91259 54211 13554 12837 95250
03621 80416 67745 07356 40639
08628 52000 11073 25814 35833
80384 98372 28346 08505 76695
70413 26805 82670 74455 38262
09844 24610 17622 23595 76902
11571 61289 59398 38899 32453
SMITHSONIAN LOGARITHMIC TABLES
40938 89463 25332 41748 56045
84028 14142 81447 41407 43508
04675 82525 48420 60357 35658
23498
05780 05303 12031
79080 52912 40358 75477 86248
.0°20 00799 01799 02799 03799 04799
05798 06798 07798 08798 09798
10797 11797 12797 13797 14797
15796 16796 17796 18796 19796
20795 21795 22795 23795 24794
25794 26794 27794 28794 29793
30793 31793 32793 33793 34792
35792 36792 37792 38792 39791
40791 41791 42791 43791 44790
45790 46790 47790 48790 49789
82665 62654
26793 27313 28233 29554 31275
33398 35921 38846 42172 45900
500 30 54562 59496 64832 70572
76714 83259 90208 97560 05315
13475 22039 31007 40379 50156
60338 70925 81917 93315 05119
17328 29943 42965 56393 70228
84470 99118 14175 29638 45509
61788 78476 95571 13075 30987
49309 68039 87179 06729 26688
29999 39999 49999
59999 69999 79999 89999 99999
.0'201 09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 719999 89999 99999
79979 79959 79939 79919 79899
79879 79859 79839 79819 79799
79779 79759 79739 79719 79698
719678 79658 79638 79618 79598
T9577 79557 79537 79517 79496
79476 79456 79436 79415 79395
79375 79354 79334 79314 79293
79273 79253 19232 79212 79192
79171 79151 79130 79110 79089
79069 79048 790 28 79007 78987
41
42 LOGARITHMIC TABLES TO THE BASE e
.0°20 50789 69870 47056 894 |.07205 09999 78966 51789 49359 67835 805 78946 52789 28838 89024 989 29999 78925 53789 08308 10624 647 39999 78905 54788 87767 32634 978 49999 78884
75055 55788 67216 55056 183 59999 78864 52957 56788 46655 77888 461 69999 78843 93994 57788 26085 01132 012 79999 78823 27789 58788 05504 24787 036 89999 78802 83626 59787 84913 48853 732 99999 78782
90459 60787 64312 73332 302 |. 09999 78761 76905 61787 43701 98222 944 19999 78740 71251 62787 23081 23525 859 29999 78720 01453 63787 02450 49241 246 39999 78699 95133 64786 81809 75369 305 49999 78678
79583 65786 61159 01910 236 59999 78658 81768 66786 40498 28864 239 69999 78637 28319 67786 19827 56231 514 79999 78616 45543 68785 99146 84012 261 89999 78596 59414 69785 78456 12206 680 99999 78575
95584 70785 57755 40814 09999 78554 79373 71785 37044 69837 331 19999 78534 35779 72785 16323 99273 964 29999 78513 89472 73784 95593 29125 39999 78492 64798 74784 74852 59390 49999 78471
85779 75784 54101 90071 59999 78451 76112 76784 33341 21167 69999 78430 59172 777184 12570 52678 79999 78409 58012 78783 91789 84604 89999 78388 95363 79783 70999 16946 99999 78368
93634 80783 50198 49704 09999 78347 74914 81783 29387 82878 19999 78326 60971 82783 08567 16469 29999 78305 73257 83782 87736 50475 39999 78284 32901 84782 66895 84899 49999 78263
60717 85782 46045 19739 59999 78243 77200 86782 25184 54997 69999 78222 02529 87782 04313 90671 79999 78201 56565 88781 83433 26764 89999 78180 58856 89781 62542 63273 99999 78159
28633 . 90781 41642 00201 09999 78138 84813 91781 20731 37547 19999 78117 45999 92780 99810 75311 29999 78096 30482 93780 78880 13493 39999 78075 56238 94780 57939 52095 49999 78054
40932 95780 36988 91115 59999 78033 01919 96780 16028 30554 69999 78012 56242 97779 95057 70412 79999 77991 20632 98779 74077 10690 89999 77970 11514 99779 53086 51387 99999 77950
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 43
87008 45000 .0321 00779 32085 71928 45514 36896 01779 11075 771907 01757 02699 02778 90054 29999 77886 55738 57600 03778 69024 39999 77865 07461 16481 04778 47983 49999 77844
56926 93920 05778 26933 04397 59999 77823 04138 04189 06778 05872 48037 69999 77802 49096 61252 07777 84801 92100 79999 77781 91804 78774 08777 63721 36583 89999 77760 32264 70112 09777 42630 81488 99999 77739
70478 48320 10777 21530 26815 09999 77718 06448 26152 11777 00419 72564 19999 77697 40176 16056 12776 79299 18736 29999 77676 71664 30182 13776 58168 65330 39999 77655 00914 80378 14776 37028 12346 49999 77633
27929 78190 15776 15877 59785 59999 77612 52711 34865 16775 94717 07648 69999 77591 75261 61351 17775 73546 55934 79999 77570 95582 68299 18775 52366 04643 89999 77549 13676 66058 19775 31175 53776 99999 77528
29545 64682 : 20775 09975 03332 09999 77506 43191 73928 21774 88764 53313 19999 77485 54617 03256 22774 67544 03718 29999 77464 63823 61829 23774 46313 54548 39999 77443
70813 58517 181 24774 25073 05802 49999 77421
75589 01893 23784 796 25774 03822 57481 59999 77400 78152 00237 19056 044 26773 82562 09585 69999 77379 78504 61535 00278 331 27773 61291 62114 79999 77358 76648 93479 47070 482 28773 40011 15069 89999 77336 72587 03470 79674 269 29773 18720 68450 99999 77315
66320 98617 13888 703 30772 97420 22256 09999 77294 57852 85735 15875 472 31772 76109 76488 19999 77272 47184 71350 56835 868 32772 54789 31147 29999 77251 34318 61698 67559 590 33772 33458 86232 39999 77230 19256 62724 92845 750 34772 12118 41744 49999 77208
02000 80085 45796 476 35771 90767 97683 59999 77187 82553 19147 61983 439 36771 69407 54048 69999 77166 60915 84990 53487 686 37771 48037 10841 79999 77144 37090 82405 62813 38771 26656 68062 89999 77123 11080 15897 16673 39771 05266 25710 99999 77102
82885 89682 79656 40770 83865 83786 09999 77080 52510 07694 07756 41770 62455 42290 19999 77059 19954 73577 01788 42770 41035 01222 29999 77037 85221 90692 60675 43770 19604 60583 39999 77016 48313 62117 34611 44769 98164 20373 49999 76994
09231 90643 78096 45769 76713 80591 59999 76973 67978 78781 02859 46769 55253 41238 69999 76951 24556 28755 30640 47769 33783 02315 79999 76930 78966 42510 45870 48769 12302 63821 89999 76908 31211 21708 48209 49768 90812 25757 99999 76887
SMITHSONIAN LOGARITHMIC TABLES
44 LOGARITHMIC TABLES TO THE BASE e
67730 .0321 50768 69311 88122 16865 81675 51768 47801 50918 76844 64363 52768 26281 14144 29999 76822 16333 53768 04750 77800 39999 76801 37848 54767 83210 41887 49999 76779
28887 55767 61660 06405 59999 76758 89156 37992 56767 40099 71354 69999 76736 18079 96894 57767 18529 36734 79999 76715 14807 35329 58766 96949 02546 89999 76693 78210 68645 59766 75358 68789 99999 76672
06885 97448 60766 53758 35465 09999 76650 99153 58704 61766 32148 02572 19999 76628 53058 76726 62766 10527 70111 29999 76607 66372 14040 63765 88897 38083 39999 76585 36590 22132 64765 67257 06488 49999 76563
60935 92083 65765 45606 75325 59999 76542 36359 05084 66765 23946 44596 69999 76520 59536 82834 67765 02276 14300 79999 76598 26874 37825 68764 80595 84437 89999 76477 34505 23505 69764 58905 55008 99999 76455
78291 84331 10764 37205 26013 ‘ 09999 76433 53826 05706 71764 15494 97452 19999 76412 56429 63801 712763 93774 69325 29999 76390 81154 75255 713763 72044 41632 39999 76368 22784 46778 74763 50304 14375 49999 76346
75833 24617 75763 28553 87552 59999 76325 34547 43930 76763 06793 61164 69999 76303 92905 78033 77762 85023 35211 79999 76281 44619 87538 78762 63243 09694 89999 76259 83134 69381 79762 41452 84613 99999 76238
01629 05730 80762 19652 59967 09999 76216 93016 12792 81761 97842 35758 19999 76194 49943 89498 82761 76022 11984 29999 76172 64795 66080 83761 54191 88647 39999 76150 29690 52541 84761 32351 65747 49999 76128
36483 87008 85761 10501 43284 59999 76107 76767 83976 86760 88641 21258 69999 76085 41871 82446 87760 66770 99669 79999 76063 22862 93947 88760 44890 78517 89999 76041 10546 50450 89760 23000 57803 99999 76019
95466 52178 90760 01100 37527 09999 75997 67906 15298 91759 79190 17689 19999 75975 17888 19511 92759 57269 98289 29999 75953 35175 55532 93759 35339 79328 39999 75931 09271 72459 94759 13399 60805 49999 75909
29421 25037 95758 91449 42722 59999 75887 84610 20816 96758 69489 25077 69999 75865 63566 67194 97758 47519 07871 79999 75843 54761 18366 98758 25538 91105 89999 75821 46407 22151 99758 03548 74779 99999 75800
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 45
70815 26461 66725 0°22 00757 757177 995 13172 82625 27243 01757 75755 980 53468 02343 12351 02757 29999 75733 955 91702 72805 10602 03757 39999 75711 920 27878 80946 36760 04756 49999 75689 875
61998 13447 77997 05756 71397 59999 75667 820 94062 56736 39994 06756 49337 69999 75645 24073 96985 92928 07756 27267 719999 75623 52034 20117 17364 08756 05187 89999 75601 77945 11798 50032 09755 83097 99999 75579
01808 57446 29512 10755 60997 09999 75557 23626 42225 41811 11755 38887 19999 75535 43400 51049 65831 12755 16767 29999 75513 61132 68582 18746 13754 94636 39999 75491 76824 79236 01268 14754 72496 49999 75468
90478 67174 42812 15754 50346 59999 75446 02096 16311 46561 16754 28186 69999 75424 11679 10312 34431 17754 06016 79999 75402 19229 32593 91930 18753 83836 89999 75380 24748 66325 12919 19753 61646 99999 75358
28238 94427 44273 20753 39446 09999 75335 29701 99575 30436 21753 17236 19999 75313 29139 64196 57885 22752 95016 29999 75291 26553 70472 99485 23752 72786 39999 75269 21946 00340 58751 24752 50546 49999 75246
7. ut 7. q. 1.
15318 35490 14006 25752 28296 59999 75224 06672 57367 62439 26752 06036 69999 75202 96010 47174 64074 27751 83765 79999 75180 83333 85868 85625 28751 61485 89999 75157 68644 54164 44265 29751 39195 99999 75135
eee
51944 32532 51292 30751 16895 09999 75113 33235 01201 55697 31750 94585 19999 75090 12518 40157 87635 32750 72265 29999 75068 89796 29146 01799 33750 49935 39999 75046 65070 47669 20698 34750 27595 49999 75023
AAIAAA
38342 74989 77836 35750 05245 59999 75001 09614 90129 60792 36749 82885 69999 74979 78888 71870 54214 37749 60515 79999 74956 46165 98754 82706 38749 38135 89999 74934 11448 49085 53620 39749 15745 99999 74912
Aaa 4s
74738 00926 99766 40748 93345 09999 74889 36036 32105 22004 41748 70935 19999 74867 95345 20208 31763 42748 48515 29999 74844 52666 42586 93454 43748 26085 39999 74822 08001 76354 66785 44748 03645 49999 74799
Aas a+
61352 98388 48995 45747 81196 59999 74777 12721 85329 16980 46747 58736 69999 74754 62110 13581 69335 47747 36266 79999 74732 09519 59315 68298 48747 13786 89999 74709 2250) 7.71868 54951 98465 81601 000 49746 91296 99999 74687
Aaa +
SMITHSONIAN LOGARITHMIC TABLES
46 LOGARITHMIC TABLES TO THE BASE e
06732 24227 . 0722 50746 68796 14664 59581 00083 51746 46286 14642 32244 43565 52746 23766 29999 74619 99721 61043 53746 01236 39999 74597 36778 72252 54745 78696 49999 74574
17949 51588 55745 56146 59999 74552 17535 69311 56745 33586 69999 74529 09607 32666 57745 11016 79999 74507 68003 26900 58744 88436 89999 74484 66331 56201 59744 65847 99999 74462
T1969 84536 60744 43247 09999 74439 76065 76404 61744 20637 19999 74416 33537 37502 62743 98017 29999 74394 23073 55289 63743 75387 39999 74371 17134 39479 64743 52747 49999 74348
87951 62424 65743 30097 59999 74326 07528 99427 66743 07437 69999 74303 47642 68952 67742 84768 79999 74280 79841 72750 68742 62088 89999 74258 75448 35903 69742 39398 99999 74235
05558 46767 70742 16698 09999 74212 41041 96841 71741 93988 19999 74190 52543 20535 72741 71268 29999 74167 10481 34862 73741 48539 39999 74144 85050 79036 74741 25799 49999 74121
46221 53981 75741 03049 59999 74099 63739 61765 76740 80289 69999 74076 07127 44933 77740 57519 79999 74053 45684 25761 718740 34739 89999 74030 48486 45425 79740 11950 99999 74008
84388 03081 80739 89150 09999 73985 22020 94858 81739 66340 19999 73962 29795 52775 82739 43520 29999 73939 75900 83556 83739 20690 39999 73916 28305 07379 84738 97851 49999 73893
88443 54755 96525 85738 75001 59999 73871 61940 22781 13952 86738 52141 69999 73848 33524 99688 51778 87738 29271 79999 73825 03199 52566 69687 88738 06392 89999 73802 70965 48285 33245 89737 83502 99999 73779
36824 53495 52135 90737 60602 09999 73756 00778 34630 18307 91737 37692 19999 73733 62828 57904 44050 92737 14773 29999 73710 22976 89315 99971 93736 91843 39999 73687 81224 94645 52903 94736 68903 49999 73664
37574 39457 03722 95736 45953 59999 73641 92026 89098 25084 96736 22994 69999 73618 44584 08700 99080 97736 00024 79999 73595 95247 63181 54813 98735 77044 89999 73572 44019 17241 05884 99735 54054 99999 73550
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e
.74109 90900 35365 87806 478 - 74153 35892 81827 95332 664 . 74196 78998 20685 19703 166 . 74240 20218 15781 85812 835 - 74283 59554 30748 89297 349
0223 00735 31055 25827 599 |.0’230 09999 73526 995 01735 08045 55395 952 19999 73503 980 02734 85025 85424 546 29999 73480 955 03734 61996 15913 581 39999 73457 920
04734 38956 46863 257 13434 875
. 74326 97008 29004 33539 081 .74370 32581 73753 66592 760 7.74413 66276 27990 18031 104 . 74456 98093 54495 35710 662 .74500 28035 15839 22458 053
05734 15906 78273 06733 92847 10145 331 07733 69777 42478 129 08733 46697 75272 367 09733 23608 08528 244
59999 73411 820 69999 73388 755 79999 73365 680 89999 73342 595 99999 73319 500
07231 09999 73296 395 19999 73273 280 29999 73250 155 39999 73227 020 73203 875
. 74543 56102 74380 72676 817 .74586 82297 82268 08875 O77 . 74630 06622 31439 18114 228 .74673 29077 53621 88378 854 -74716 49665 20334 44868 061
10733 00508 42245 11732 77398 76425 720 12732 54279 11067 717 13732 31149 46172 154 14732 08009 81739 231
.74759 68386 92885 86208 464 . 74802 85244 32376 20588 997 - 74846 00238 99697 01817 765 .74889 13372 55531 65301 140 .74932 24646 60355 63945 296
15731 84860 17769 16731 61700 54262 101 17731 38530 91218 295 18731 15351 28637 927 19730 92161 66521 199
59999 73180 720 69999 73157 555 79999 73134 380 89999 73111 195 99999 73088 000
07232 09999 73064 795 19999 73041 580 29999 73018 355 39999 72995 120 72971
0323 20730 68962 04868 308 21730 45752 43679 457 22730 22532 82954 843 23729 99303 22694 668 24729 76063 62899 131
.74975 34062 74437 03980 390 .75018 41622 57836 80707 581 .75061 47327 70409 14169 095 .75104 51179 71801 84741 529 .75147 53180 21456 68652 593
.75190 53330 78609 73421 490 . 75233 51633 02291 73223 129 .75276 48088 51328 44176 366 . 75319 42698 84340 99556 472 . 75362 35465 59746 24932 022
25729 52814 03568 26729 29554 44702 770 27729 06284 86302 346 28728 83005 28367 360 29728 59715 70898 010
59999 72948 620 69999 72925 355 79999 72902 080 89999 72878 795 99999 72855 500
07233 09999 72832 195 19999 72808 880 29999 72785 555 39999 72762 220 12738
.0323 30728 36416 13894 498 31728 13106 57357 023 32727 89787 01285 785 33727 66457 45680 984 34727 43117 90542 319
.75405 26390 35757 13226 394 . 75448 15474 70382 99704 088 . 75491 02720 21429 96882 035 .75533 88128 46501 29366 110 .75576 71701 02997 68613 029
-75619 53439 48117 67617 827 . 75662 33345 38857 95527 104 .75705 11420 22013 72178 234 - 75747 87665 84179 02564 725 . 75790 62083 51747 11227 920
35727 19768 35871 36726 96408 81667 199 37726 73039 27930 144 38726 49659 74660 524 39726 26270 21858 541
59999 72715 520 69999 72692 155 79999 72668 780 89999 72645 395 99999 72622 000
07234 09999 72598 595 19999 72575 180 29999 72551 755 39999 72528 320 72504
.0323 40726 02870 69524 393 41725 79461 17658 280 42725 56041 66260 404
43725 32612 15330 962
44725 09172 64870 156
. 75833 34674 90910 76575 223 . 75876 05441 57662 65125 047 - 75918 74385 07795 65678 664 . 75961 41506 96903 23419 154 - 76004 06808 80379 73937 618
59999 72481 420 69999 72457 955 79999 72434 480 89999 72410 995 72387
- 76046 70292 13420 77186 876 - 76089 31958 51023 51362 798 - 76131 91809 47987 06713 476 - 76174 49846 58912 79276 425 - 76217 06071 38204 64543 970
45724 85723 14878 46724 62263 65355 249 47724 38794 16301 548 48724 15314 67717 281 49723 91825 19602 649
SMITHSONIAN LOGARITHMIC TABLES
48 LOGARITHMIC TABLES TO THE BASE e
SMITHSONIAN LOGARITHMIC TABLES
51057 53927 48 289 02678 12342
32477 11398 23635 02961 75346
91853 61445 83743 81700 34213
08662 93387 30087 46157 86958
48013 07138 56508 34652 58381
54649 92352 14046 67620 37879
78079 41389 12281 37866 59153
42253 09509 70563 53363 35098
73071 35511 32316 45732 60971
96764 35846 55385 57342 98768
.0323 50723 51723 52723 53722 54722
55722 56722 57722 58721 59721
60721 61721 62720 63720 64720
65720 66719 67719 68719 69719
70718 71718 72718 73718 74718
T5717 76717 T1717 78717 79716
80716 81716 82716 83715 84715
85715 86715 87714 88714 89714
90714 91713 92713 93713 94713
95713 96712 97712 98712 99712
68325 44816 21296 97767 74227
50678 27118 03549 79970 56380
32781 09171 85552 61922 38 283
14634 90974 67305 43625 19936
96237 72527 48808 25079 01339
77590 53830 30061 06282 82492
58693 34884 11064 87235 63396
39547 15687 91818 67939 44049
20150 96241 72321 48392 24453
00504 76544 52575 28596 04607
07235 09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
72363 72340 72316 72293 72269
72246 72222 72199 72175 72152
72128 72104 72081 72057 72033
72010 71986 71962 71939 71915
71891 71868 71844 71820 71796
71773 71749 71725 71701 71678
71654 71630 71606 71582 71558
71535 71511 71487 71463 71439
71415 71391 71367 71343 71319
71295 71271 71247 71223 71200
LOGARITHMIC TABLES TO THE BASE e coe)
21253 .0°24 00711 80607 93173 662 |.07240 09999 71175 39928 01711 56598 69755 71151 36468 02711 32579 46817 29999 71127 55098 03711 08550 24359 39999 71103 39861 04710 84511 02382 49999 71079
34624 05710 60461 80886 59999 71055 83071 06710 36402 59871 69999 71031 28711 07710 12333 39337 79999 71007 14871 08709 88254 19285 89999 70983 84700 09709 64164 99714 99999 70959
81171 ; 10709 40065 80625 09999 70935 47076 11709 15956 62018 19999 70911 25031 12708 91837 43893 29999 70887 57476 13708 67708 26251 39999 70863 86673 14708 43569 09091 49999 70838
54705 15708 19419 92414 59999 70814 03483 16707 95260 76221 69999 70790 74737 17707 71091 60510 79999 70766 10027 18707 46912 45283 89999 70742 50732 19707 22723 30539 99999 70718
38058 20706 98524 16279 09999 70693 13037 21706 74315 02504 19999 70669 16525 22706 50095 89212 29999 70645 89205 23706 25866 76405 39999 70621 71583 24706 01627 64083 49999 70596
03995 25705 77378 52245 59999 70572 26601 26705 53119 40892 69999 70548 79388 27705 28850 30025 79999 70524 02172 28705 04571 19643 89999 70499 34594 29704 80282 09747 99999 70475
16123 30704 55983 00336 09999 70451 86057 31704 31673 91412 19999 70426 83522 32704 07354 82974 29999 70402 47472 33703 83025 75022 39999 70378 16690 34703 58686 67557 49999 70353
29787 35703 34337 60578 59999 70329 25206 36703 09978 54087 69999 70305 41216 37702 85609 48083 70280 15920 38702 61230 42566 70256 87247 39702 36841 37537 70232
92960 0324 40702 12442 32995 09999 70207 70649 41701 88033 28942 19999 70183 57740 42701 63614 25377 29999 70158 91485 43701 39185 22301 39999 70134 08972 44701 14746 19713 49999 70109
47117 45700 90297 17613 59999 70085 42671 46700 65838 16003 69999 70060 32216 47700 41369 14882 79999 70036 52167 48700 16890 14251 89999 70011 38772 49699 92401 14109 99999 69987
SMITHSONIAN LOGARITHMIC TABLES
13835 92970 70442 46252 20402
92892 63725 32901 00422 66289
30503 93067 53981 13246 70864
26837 81165 33850 84893 34296
82059 28185 72675 15529
56750
96338 34294 70621 05320 38391
69836 99657 27855 54430 79385
02720 24438 44538 63023 79894
95152 08799 20835 31262 40081
47294 52902 56906 59308 60108
LOGARITHMIC TABLES TO THE BASE e
70656
03404 59070 67592 58753
62180 07343 23557 39981 85619
89318 79773 85522 34952 56292
SMITHSONIAN LOGARITHMIC TABLES
57487 01827 30269 74652 95333
08185 11534 13049 56566 48869
86411 81976 91301 39625 48203
60752 69850 43283 50330 88008
07250 39041 20496 20885 67605
72106 95754 75653 50403 85819
00587 51875 60890 38382 10103
42206 66598 06244 00415 29888
42096 76225 88265 76007
03988
28395 21907 98499 38185 11723
14457 15295 16623 18441 20751
23551 26842 30624 34898 39663
449 20 50669 56910 63644 70871
78590 86802 95507 04706 14399
24585 35265 46440 58109 70272
82931 96084 09733 23877 38516
53652 69283 85411 02035 19156
36773 54888 73500 92609 12216
32320 52923 74024 95623 17721
40317 63413 87008 11102 35696
29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999
69999
79999 89999
99999
09999
19999 29999 39999
49999
59999
69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
69791 69766 69742
69717 69692 69668 69643 69618
69594 69569 69544 69520 69495
69470 69446 69421 69396 69371
69347 69322 69297 69272 69248
69223 69198 69173 69148 69123
69099 69074 69049 69024 68999
68974 68949 68924 68899 68874
68849 68824 68799 68774 68750 001
LOGARITHMIC TABLES TO THE BASE e
40135
31354 20981 09017 95463 80321
63591 45275 25375 03891 80825
56178 29951 02146 72763 41805
09271 75165 39486 02236 63417
23029 81073 37552 92466 45817
97605 47832 96500 43608 89160
33155 75595 16482 55817 93600
29833 64517 97654 29244 59289
87791 14749 40166 64043 86381
SMITHSONIAN LOGARITHMIC TABLES
05261 44939 21440 14493 17325
61070 39118 31430 28790 57023
01151 29509 17815 73184 58101
14345 86860 47588 19250 99074
82489 86758 74576 77611 20008
41840 22512 04125 14789 91888
05305 80597 22124 36136 53810
54245 87408 97042 43517 26648
08462 35921 63599 76320 11743
82909 00743 96509 44224 83026
0°25 00687 01687 02686 03686 04686
05686 06685 07685 08685 09685
10684 11684 12684 13684 14683
15683 16683 17683 18682 19682
20682 21682 22681 23681 24681
25681 26680 27680 28680 29680
30679 31679 32679 33678 34678
35678 36678 37677 38677 39677
40677 41676 42676 43676 44676
45675 46675 47675 48675 49674
339 |.0°250 09999
29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
68724 68699 68674 68649 68624
68599 68574 68549 68524 68499
68474 68449 68424 68399 68373
68348 68323 68298 68 273 68248
68222 68197 68172 68147 68121
68096 68071 68046 68020 67995
67970
67944 67919
67487
51
52 LOGARITHMIC TABLES TO THE BASE e
41811 39497 0°25 50674 64680 49949 51674 41483 82657 52674 29999 92484 60053 53673 39999 37804 80879 54673 49999
97425 42295 55673 59999 91186 61937 56673 69999 38787 99945 57672 79999 59788 80934 58672 89999 73608 15935 59672 99999
99525 24283 60672 09999 56679 55466 61671 19999 64071 10936 62671 29999 40560 65866 63671 39999 04869 90879 64671 49999
715581 73722 65670 59999 71140 40904 66670 69999 09851 79295 67670 79999 09883 57672 68670 89999 89265 48236 69669 99999
65889 48079 70669 09999 57510 00609 71669 : 19999 81744 16940 72669 29999 56071 97232 73668 39999 97836 51997 74668 49999 66846
24244 23358 75668 59999 66821 52365 06271 76668 69999 66795 99132 69703 T1667 79999 66769 81344 77768 78667 89999 66743 15663 10830 79667 99999 66718
18613 86550 : 80666 09999 66692 06587 80908 81666 66666 95840 49176 82666 66640 02492 46851 83666 66614 42529 50548 84665 66588
31802 78856 85665 66563 86029 13146 86665 66537 20791 18348 87665 66511 51537 63682 88664 66485 93583 43349 89664 66459
62109 97183 90664 09999 66433 72165 91664 19999 66407 38664 92663 29999 66381 76389 93663 39999 66355 99989 94663 49999 66329
23980 95663 59999 66303
62748 96662 69999 66277 956 30544 97662 79999 66251 981 41490 98662 89999 66225 996 09573 99662 99999 66200 001
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 93
12654 .0326 00661 79859 66173 56590 01661 53851 66147 99049 02661 27832 29999 66121 40033 03661 01804 39999 66095 79541 04660 75766 38069 49999 66069
17576 05660 49718 16755 59999 66043 54139 06660 23659 95962 69999 66017 89230 07659 97591 75691 79999 65991 22851 08659 71513 55941 89999 65965 55003 09659 45425 36712 99999 65939
85686 : 10659 19327 18005 09999 65913 14903 11658 93218 99820 19999 65887 42655 12658 67100 82158 29999 65861 68941 13658 40972 65017 39999 65835 93764 14658 14834 48400 49999 65808
17125 15657 88686 32305 59999 65782 39025 16657 62528 16733 69999 65756 59464 17657 36360 01684 79999 65730 718445 18657 10181 87159 89999 65704 95967 19656 83993 73158 99999 65678
12033 : 20656 57795 59680 09999 65651 26643 21656 31587 46726 19999 65625 39798 22656 05369 34296 29999 65599 51500 23655 79141 22391 39999 65573 61750 24655 52903 11010 49999 65546
70543 25655 26655 00154 59999 65520 771896 26655 00396 89823 69999 65494 83796 27654 74128 80018 79999 65468 88247 28654 47850 70737 89999 65441 91251 29654 21562 61983 99999 65415
92810 30653 95264 53754 09999 65389 92924 31653 68956 46051 19999 65362 91594 32653 42638 38874 29999 65336 88823 33653 16310 32224 39999 65310 84609 34652 89972 26100 49999 65283
78956 35652 63624 20503 59999 65257 71863 36652 37266 15433 69999 65231 63332 37652 10898 10890 79999 65204 53365 38651 84520 06875 89999 65178 41961 39651 58132 03387 99999 65152
29122 40651 31734 00427 09999 65125 14850 41651 05325 97995 19999 65099 99146 42650 78907 96091 29999 65072 82009 43650 52479 94715 39999 65046 63442 44650 26041 93869 49999 65019
43446 45649 99593 93551 59999 64993 22022 46649 73135 93761 69999 64966 99170 47649 46667 94502 79999 64940 74892 48649 20189 95771 89999 64913 49189 49648 93701 97570 99999 64887
SMITHSONIAN LOGARITHMIC TABLES
54 LOGARITHMIC TABLES TO THE BASE e
22062 89025 53952 0326 50648 67203 93513 05753 12653 51648 40696 63541 37739 65292 52648 14178 29999 32148 92152 81880 53647 87650 39999 99336 76039 20800 54647 61112 49999
65105 96324 47056 55647 34564 59999 29457 59813 50475 56647 08006 69999 92392 73190 63889 57646 81438 79999 53912 43019 81274 58646 54860 89999 14017 75744 75854 59646 28272 99999
72709 77689 18179 c 60646 01674 09999 29989 55056 94160 61645 75066 19999 85858 13932 23074 62645 48448 29999 40316 60279 75541 63645 21820 39999 93365 99944 91452 64644 95182 49999
45007 38653 97881 65644 68534 59999 95241 82014 26954 66644 41877 09376 69999 44070 35514 33682 67644 15209 20741 79999 91494 04524 13767 68643 88531 32641 89999 37513 94295 21373 69643 61843 45074 99999
82131 09960 86860 70643 35145 58040 09999 25346 56536 34492 71643 08437 71541 19999 67161 38919 00103 72642 81719 85576 29999 07576 61888 48737 73642 54992 00145 39999 46593 30106 92250 74642 28254 15249 49999
84212 48119 06886 75642 01506 30887 59999 20435 20352 50812 76641 74748 47061 69999 55262 51117 81623 77641 47980 63769 79999 64141 88695 44608 73822 78641 21202 81014 89999 64114 20735 04902 36252 79640 94414 98793 99999 64088
51382 35959 29509 80640 67617 17109 09999 64061 80638 41623 83320 81640 40809 35960 19999 64034 08504 25624 13878 82640 13991 55348 29999 64007 34980 91572 41164 83639 87163 75272 39999 63980 60069 42965 06217 84639 60325 95733 49999 63953
83770 83182 88383 85639 33478 16730 59999 63927 06086 15491 22534 86639 06620 38264 69999 63900 27016 43040 16242 87638 79752 60336 79999 63873 46562 68864 66937 88638 52874 82945 89999 63846 64725 95884 79023 89638 25987 06091 99999 63819
81507 26905 80965 90637 99089 29776 7 09999 63792 96907 64618 42341 91637 72181 53998 19999 63765 10928 11598 90871 92637 45263 78759 29999 63738 23569 70309 29406 93637 18336 04057 39999 63711 34833 43097 52887 94636 91398 29895 49999 63684
44720 32197 65275 95636 64450 56271 59999 63657 53231 39729 96450 96636 37492 83186 69999 63630 60367 67701 19075 97636 10525 10641 79999 63603 66130 18004 65431 98635 83547 38635 89999 63576 70519 92420 44222 99635 56559 67168 99999 63550 001
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 55
73537 57346 0227 00635 29561 588 |.0'270 09999 63522 15185 16637 01635 02554 63495 15462 60578 02634 75536 29999 63468 74371 70977 03634 48508 39999 63441 71912 89617 04634 21471 49999 63414
68087 34874 05633 94423 59999 63387 62896 18306 06633 67365 69999 63360 56340 61207 07633 40298 79999 63333 48420 11136 08633 13220 89999 63306 39138 58411 09632 86132 99999 63279
28494 52573 10632 59035 09999 63252 16490 18822 11632 31927 19999 63225 03126 714425 12632 04809 29999 63198 88403 45084 13631 77682 39999 63171 72323 81283 14631 50544 49999 63143
54886 74605 15631 23396 59999 63116 36094 74012 16630 96239 69999 63089 15947 02100 17630 69071 79999 63062 94446 71324 18630 41894 89999 63035 71592 00193 19630 14706 99999 63008
47387 29433 20629 87508 09999 62980 21832 38121 21629 60301 19999 62953 94926 59795 22629 33083 29999 62926 66672 98524 23629 05856 39999 62899 37070 44957 24628 78618 49999 62871
06122 92342 25628 51370 59999 62844 73828 52506 26628 24113 69999 62817 40189 71824 27627 96845 79999 62790 05207 47136 28627 69568 89999 62762 68881 41657 29627 42280 99999 62735
31214 00840 30627 14983 09999 62708 92206 68221 31626 87675 19999 62680 51859 01233 32626 60358 29999 62653 10172 86986 33626 33030 39999 62626 67148 58023 34626 05693 49999 62598
22787 08046 35625 78345 59999 62571 77090 07616 36625 50988 69999 62544 30058 19815 37625 23620 79999 62516 81692 15893 38624 96243 89999 62489 31993 90875 39624 68855 99999 62462
80963 79144 40624 41458 09999 62434 28601 70000 41624 14050 19999 62407 74909 23179 42623 86633 29999 62379 19888 84356 43623 59205 39999 62352 63539 00614 44623 31768 49999 62324
05863 35882 45623 04320 59999 62297 46860 86353 46622 76863 69999 62269 86533 95867 47622 49395 79999 62242 24881 71266 48622 21918 89999 62214 61906 97728 59621 94430 99999 62187
SMITHSONIAN LOGARITHMIC TABLES
56 LOGARITHMIC TABLES TO THE BASE e
97609 54065 .0°27 50621 66933 42536 31990 27997 51621 39425 99403 65051 31401 52621 11908 56820 29999 96792 15524 53620 84381 14788 39999 27215 86179 54620 56843 73306 49999
56321 18903 55620 29296 32375 59999 84110 23796 74096 56620 01738 91995 69999 10583 53247 12130 57619 74171 52166 79999 35742 17286 08424 58619 46594 12888 89999 59587 11195 68505 59619 19006 74162 99999
82119 30154 43028 60618 91409 35988 09999
03339 69237 42777 61618 63801 98365 19999 61856 23249 23416 53638 62618 36184 61295 29999 61829 41848 87560 51544 63618 08557 24778 39999 61801 59139 56435 17387 64617 80919 88812 49999 61773
75122 24703 51918 65617 53272 53400 59999 61746 89797 86925 90602 66617 25615 18540 69999 61718 03167 37560 18460 67616 97947 84234 79999 61690 15231 70961 84877 68616 70270 50481 89999 61663 25991 81384 18388 69616 42583 17282 99999 61635
35448 62978 41431 70616 14885 84636 09999 61607 43603 09793 85079 71615 87178 52545 19999 61580 50456 15778 03743 72615 59461 21007 29999 61552 56008 74776 89851 73615 31733 90024 39999 61524 60261 80534 88496 74615 03996 59596 49999 61496
63216 26695 12060 75614 76249 29722 59999 61469 64873 06799 54814 76614 48492 00403 69999 61441 65233 14289 07489 77614 20724 71640 79999 61413 64297 42503 71818 78613 92947 43432 89999 61385 62066 84682 75062 79613 65160 15779 99999 61358
58542 33964 84495 : 80613 37362 88682 09999 61330 53724 83388 21877 81613 09555 62141 19999 61302 47615 25890 77893 82612 81738 36156 29999 61274 40214 54310 26566 83612 53911 10728 39999 61246 31523 61384 39651 84612 26073 85856 49999 61218
21543 39751 00993 85611 98226 61541 59999 61191 10274 81948 20868 86611 70369 37783 69999 61163 97718 80414 50295 87611 42502 14582 79999 61135 83876 27488 95318 88611 14624 91939 89999 61107 68748 15411 31273 89610 86737 69853 99999 61079
52335 36322 17018 ; 90610 58840 48325 09999 61051 34638 82263 09145 91610 30933 27354 19999 61023 15659 45176 76161 92610 03016 06942 29999 60995 95398 16907 12652 93609 75088 87089 39999 60967 73855 89199 53412 94609 47151 67793 49999 60939
51033 53700 87553 95609 19204 49057 59999 60911 26932 01959 72585 96608 91247 30880 69999 60883 01552 25426 48480 97608 63280 13261 79999 60855 74895 15453 51698 98608 35302 96203 89999 60827 46961 63295 29197 99608 07315 79703 99999 60800 001
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 57
60108 .0928 00607 79318 203 |.07280 09999 60771 96952 01607 51311 60743 64788 02607 23294 29999 60715 54480 03606 95267 39999 60687 56796 04606 67230 49999 60659
62406 05606 39182 59999 60631 61882 06606 11125 69999 60603 45701 07605 83058 79999 60575 04243 08605 54981 89999 60547 27791 09605 26894 99999 60519
06531 10604 98797 09999 60491 30555 11604 70690 19999 60463 89856 12604 42573 29999 74334 13604 14446 39999 73790 14603 86308 49999
77933 15603 58161 59999 76372 16603 30004 69999 58625 17603 01837 79999 14112 18602 73660 89999 32159 19602 45473 99999
01996 20602 17276 09999 12759 21601 89069 19999 53489 22601 60852 29999 13132 23601 32625 39999
80541 24601 04388 49999
44472 25600 76141 59999 93590 26600 47884 69999 16463 27600 19617 79999 01567 28599 91340 89999 37283 29599 63053 99999
11899 30599 34756 09999 13610 31599 06449 19999 30516 32598 78132 29999 50625 33598 49805 39999 61852 34598 21468 49999
52018 35597 93121 59999 08851 36597 64764 69999 19987 37597 36397 79999 72971 38597 08020 89999 55251 39596 79633 99999
54187 40596 51236 09999 57045 41596 22829 19999 50999 42595 94413 29999 23131 43595 65986 39999 60431 44595 37549 49999
49797 45595 09102 59999 78037 46594 80645 69999 31866 47594 52178 79999 97908 48594 23701 89999 62696 49593 95214 99999
SMITHSONIAN LOGARITHMIC TABLES
58 LOGARITHMIC TABLES TO THE BASE e
12671 99263 0328 50593 84903 34186 55557 51593 9TTTT 13499 99699 52593 11220 29999 36781 72631 53592 25234 39999 90110 59133 54592 39819 49999
59475 00500 55592 54974 59999 30773 07215 56591 70700 69999 89812 71586 57591 86997 79999 22311 80368 58591 03866 89999 13898 27355 59591 21306 99999
50110 25962 60590 39318 09999 16396 21774 61590 57902 19999 98115 05081 62590 77059 29999 80536 23384 63589 96787 39999 48839 93884 64589 17088 49999
88117 15949 65589 37962 59999 83369 83557 66589 59409 69999 19510 97719 67588 81429 79999 81364 78880 68588 04022 89999 53666 79299 69588 27189 99999
21063 95403 ; 10587 50929 09999 68114 80129 71587 75244 19999 79289 55235 72587 00133 29999 38970 23592 73587 25596 39999 31450 81460 74586 51633 49999
40937 30736 75586 78246 59999 51547 91181 76586 05433 69999 47313 12635 77585 33195 719999 12175 87195 78585 61533 89999 29991 61389 79585 90446 99999
84528 48314 ; 80585 19936 09999 59467 39762 81584 50001 19999 38402 18325 82584 80642 29999 58441 04839 69470 83584 11859 39999 58412 42199 93607 84583 43653 49999 58383
33816 18123 85583 76024 59999 58355 62935 09402 86583 08972 69999 58326 12716 84826 87583 42497 79999 58297 66235 24749 88582 76599 89999 58268 06477 84451 89582 11279 99999 58239
16346 06082 90582 46537 09999 58210 78655 30569 91581 82372 19999 58181 76135 09514 92581 18786 29999 58152 91429 17069 93581 55778 39999 58123 07095 61785 94581 93349 49999 58094
05606 98450 95580 31498 59999 58065 69350 39901 96580 70226 69999 58036 80627 68811 97580 09534 79999 58007 21655 49468 98579 49421 89999 57978 74565 39521 99579 89887 99999 57950
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 59
.0229 00579 29131 30933 517 .07290 09999 01579 00124 72559 02578 71108 14765 29999 03578 42081 57552 39999 - 97418 04578 13045 00919 49999
- 97453 05577 83998 44867 59999 57775 - 97487 06577 54941 89395 69999 57746 - 97522 07577 25875 34505 79999 57717 - 97556 08576 96798 80197 89999 57688 . 97590 09576 67712 26469 99999 57659
- 97625 10576 38615 73324 09999 57630 - 97659 11576 09509 20760 19999 57601 - 97693 12575 80392 68779 29999 57572 - 97728 13575 51266 17380 39999 57543 - 97762 14575 22129 66564 49999 57513
- 97796 15574 92983 16330 59999 57484 - 97831 16574 63826 66679 69999 57455 - 97865 17574 34660 17612 79999 57426 - 97899 18574 05483 69127 89999 57397 - 97933 88952 19573 76297 21227 99999 57368
-97968 13023 20573 47100 73910 09999 57338 - 98002 35923 21573 17894 27176 19999 57309 -98036 57651 22572 88677 81028 29999 57280 - 98070 78208 23572 59451 35463 39999 57251 -98104 97596 24572 30214 90483 49999 57221
- 98139 15815 25572 00968 46088 59999 57192 -98173 32866 26571 71712 02277 69999 57163 -98207 48750 27571 42445 59052 79999 57134 - 98241 63468 28571 13169 16412 89999 57104 - 98275 77020 29570 83882 74358 99999 57075
-98309 89407 30570 54586 32890 09999 57046 - 98344 00630 31570 25279 92007 19999 57016 -98378 10689 32569 95963 51710 29999 56987 -98412 19587 33569 66637 12000 39999 56958 -98446 27322 34569 37300 72877 49999 56928
- 98480 33897 35569 07954 34340 59999 56899 -98514 39311 36568 78597 96390 69999 56870 - 98548 43567 37568 49231 59027 79999 56840 -98582 46664 38568 19855 22252 89999 56811 - 98616 48603 39567 90468 86064 99999 56782
-98650 49385 40567 61072 50464 09999 56752 - 98684 49011 41567 31666 15452 19999 56723 -98718 47482 42567 02249 81027 29999 56693 -98752 44798 43566 72823 47192 39999 56664 - 98786 40960 44566 43387 13945 49999 56634
- 98820 35970 45566 13940 81286 59999 56605 -98854 29827 46565 84484 49217 69999 56575 - 98888 22533 47565 55018 17736 79999 56546 - 98922 14088 48565 25541 86845 89999 56516 - 98956 04493 49564 96055 56544 99999 56487
SMITHSONIAN LOGARITHMIC TABLES
60 LOGARITHMIC TABLES TO THE BASE e
93749 .0°29 50564 66559 26832 81857 51564 37052 97710 68817 52564 07536 69179 29999 54630 53563 78010 41237 39999 39298 54563 48474 13886 49999
22820 ‘ 55563 18927 87126 59999 05198 56562 89371 60957 69999 86432 57562 59805 35379 79999 66524 58562 30229 10393 89999 45473 59562 00642 85998 99999
23281 60561 71046 62194 09999
99948 61561 41440 38983 19999 56132 75475 62561 11824 16363 29999 56103 49864 63560 82197 94336 39999 56073 23114 64560 52561 72902 49999 56043
95226 65560 22915 52060 59999 56014 66202 66559 93259 31812 69999 55984 36042 67559 63593 12156 79999 55954 04747 68559 33916 93094 89999 55925 72317 69559 04230 74625 99999 55895
38754 70558 74534 56750 09999 55865 04058 71558 44828 39469 19999 55836 68229 72558 15112 22782 29999 55806 31270 73557 85386 06689 39999 55776 93179 74557 55649 91191 49999 55746
53959 75557 25903 76288 59999 55717 13610 76556 96147 61980 69999 55687 72132 77556 66381 48266 79999 55657 29527 78556 36605 35148 89999 55627 85794 79556 06819 22626 99999 55598
40936 : 80555 77023 10699 09999 55568 94953 81555 47216 99369 19999 55538 47845 82555 17400 88634 29999 55508 99613 83554 87574 78496 39999 55478 50258 84554 57738 68954 49999 55448
99780 85554 27892 60009 59999 55419 48182 86553 98036 51661 69999 55389 95462 87553 68170 43910 79999 55359 41622 88553 38294 36757 89999 55329 86663 89553 08408 30200 99999 55299
30586 90552 78512 24242 09999 55269 73390 91552 48606 18882 19999 55239 15078 93295 92552 18690 14119 29999 55209 55649 66609 93551 88764 09956 39999 55179 95105 72341 94551 58828 06390 49999 55149
33446 09724 95551 28882 03423 59999 55119 70673 20994 96550 98926 01056 69999 55089 06786 01339 97550 68959 99287 79999 55059 41787 08830 98550 38983 98118 89999 55029 75676 74344 99550 08997 97548 99999 55000
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 6l
11464 0330 00549 79001 567 |.0°300 09999 54969 26359 01549 48995 54939 27661 02549 18979 29999 54909 36308 03548 88954 39999 54879 69307 95387 04548 58918 49999 54849
12919 79946 05548 28872 59999 54819 88529 06804 06547 98816 69999 54789 69730 44332 07547 68750 79999 54759 30045 22226 08547 38674 89999 54729 42921 41259 09547 08588 99999 54699
81733 83023 10546 78492 09999 54669 19784 19644 11546 48386 19999 54639 30301 23495 12546 18270 29999 54609 86440 76879 13545 88144 39999 54579 61285 81706 14545 58008 49999 54548
27846 69148 15545 27862 59999 54518 59061 09285 16544 97706 79784 69999 54488 27794 20723 17544 67540 90040 79999 54458 06838 80209 18544 37365 00899 89999 54428 68915 32223 19544 07179 12362 99999 54398
86671 98554 20543 76983 24429 09999 54367 32684 87866 21543 46777 37099 19999 54337 79458 05237 22543 16561 50374 29999 54307 99423 61696 23542 86335 64253 39999 54277 64941 83732 24542 56099 78736 49999 54246
48301 22798 25542 25853 93824 59999 54216 21718 64789 26541 95598 09517 69999 54186 57339 39511 27541 65332 25816 79999 54156 27237 30135 28541 35056 42719 89999 54125 03414 82629 29541 04770 60228 99999 54095
57803 15182 30540 74474 78343 09999 54065 62262 27606 31540 44168 97064 19999 54034 88581 10729 32540 13853 16391 29999 54004 08477 55765 33539 83527 36324 39999 53974 93598 63675 34539 53191 56863 49999 53943
15520 54509 35539 22845 78010 59999 53913 45748 76737 36538 92489 99763 69999 53883 55718 16555 37538 62124 22124 79999 53852 16793 07188 38538 31748 45092 89999 53822 00267 38169 39538 01362 68667 99999 53792
77364 64605 z 40537 70966 92850 09999 53761 19238 16431 41537 40561 17641 19999 53731 96971 07642 42537 10145 43040 29999 53700 81576 45518 43536 79719 69047 39999 53670 43997 39828 44536 49283 95663 49999 53639
55107 12018 45536 18838 22888 59999 53609 85709 04393 46535 88382 50721 69999 53578 06536 89269 47535 57916 79164 79999 53548 88254 78127 48535 27441 08216 89999 53517 01457 30737 49534 96955 37878 99999 53487
SMITHSONIAN LOGARITHMIC TABLES
62 LOGARITHMIC TABLES TO THE BASE e
46847 23924 99927 714857 48716
21502 93218 63864 33441 01949
69389 35762 01068 65308 28483
90594 51641 11624 70546 28405
85204 40942 95621 49240 01802
53306 03753 53143 01479 48759
94985 40158 84278 27346 69363
10329 50245 89111 26929 63698
99421 34097 67726 00311 31851
62347 91799 20209 471577 73904
SMITHSONIAN LOGARITHMIC TABLES
64276 62431 84480 74364 69747
11051 50488 61066 45592 45647
50561 06360 24707 91824 77404
43500 53413 80550 17278 83761
36784 78556 65509 17074 24446
59336 82708 53500 37332 15201
92162 05989 35833 10858 18859
14882 29810 78952 70606 14618
30916 58045 61669 43082 47682
73451 79407 94052 23800 61396
.0330 50534 51534 52534 53533 54533
55533 56532 57532 58532 59531
60531 61531 62530 63530 64530
65530 66529 67529 68529 69528
70528 71528 72527 73527 74527
75527 76526 71526 78526 79525
80525 81525 82524 83524 84524
85523 86523 87523 88523 89522
90522 91522 92521 93521 94521
95520 96520 97520 98519 99519
66459 35953 05438 74912 44376
13831 83275 52709 22134 91548
60953 30347 99731 69106 38470
07824 77169 46503 15828 85142
54447 23741 93025 62300 31564
00819 70063 39298 08522 T1137
46941 16136 85320 54495 23659
92814 61958 31093 00217 69332
38436 07531 76615 45690 14755
83809 52854 21888 90913 59928
429 |.0°305 09999
29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
53456 996
53426 53395 53365 53334
53304 53273 53243 53212 53182
53151 53120 53090 53059 53028
52998 52967 52936 52906 52875
52844 52814 52783 92752 52721
52691 52660 52629 52598 52568
52537 52506 52475 52444 52413
52383 52352 52321 52290 52259
52228 52197 52166 52135 52104
52073 52042 52011 51980 51950
481 956
LOGARITHMIC TABLES TO THE BASE e 63
99191 00448 94319 0331 00519 63522 51918 23437 36484 13169 01518 25154 51887 46644 48380 20048 02518 87406 29999 51856 68813 03109 36920 03518 50278 39999 51825 89943 67579 13959 04518 13771 49999 51794
10037 08632 37888 05517 771885 59999 51763 29093 93047 40301 06517 42619 69999 51732 47114 87538 05970 07517 07975 79999 51701 64100 58753 81142 08516 73952 89999 51670 80051 73279 81821 09516 40551 99999 51639
94968 97637 02039 10516 07771 09999 51608 08852 98282 22110 11515 75613 19999 51577 21704 41608 16870 12515 44077 29999 51546 33523 93943 63914 13515 13164 39999 51515 44312 21553 51802 14514 82873 49999 51483
54069 90638 88271 15514 53204 59999 51452 62797 67337 08418 16514 24159 69999 51421 70496 17721 82881 17514 95737 79999 51390 77166 07803 26001 18513 67938 89999 51359 82808 03528 03971 19513 40762 99999 51328
87422 70779 42976 20513 14211 09999 51296 91010 75377 37315 21512 88283 19999 51265 93572 83078 57514 22512 62979 29999 51234 95109 59576 58422 23512 38300 39999 51203 95621 70501 87300 24511 14245 49999 51171
95109 81421 91890 25511 90814 59999 51140 93574 57841 28476 26511 68009 69999 51109 91016 65201 69930 27510 45829 79999 51078 87436 68882 13749 28510 24274 89999 51046 82835 34198 90069 29510 03345 99999 51015
77213 26405 69681 30509 83041 09999 50984 70571 10693 72020 31509 63363 19999 50952 62909 52191 73151 32509 44312 29999 50921 54229 15966 13740 33509 25886 39999 50890 44530 67021 07006 34508 08088 49999 50858
33814 70298 46671 35508 90915 59999 50827 22081 90678 14888 36508 74370 69999 50796 09332 92977 90162 37507 58452 79999 50764 95568 41953 55256 38507 43161 89999 50733 80789 02299 05085 39507 28498 99999 50702
64995 38646 54598 40506 14462 09999 50670 48188 15566 46646 41506 01055 19999 50639 30367 97567 59835 42506 88275 29999 50607 11535 49097 16379 43505 76124 39999 50576 91691 34540 89921 44505 64601 49999 50544
70836 18223 13359 45505 53707 59999 50513 48970 64406 86648 46504 43442 69999 50481 26095 37293 84597 47504 33806 79999 50450 02211 01024 64649 48504 24799 89999 50418 77318 19678 74651 49503 16421 99999 50387
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e
57274 T7769 45060 22983 75313
65764 57991 15587 02085 80957
15617 69417 05648 87544 78276
40957 38639 34316 90920 71326
38347 54738 83195 86354 26792
67026 69516 96661 10802 74222
49144 97732 82092 64273 06263
69993 17336 10105 10057 78890
78243 69699 14782 74957 11635
86165 59841 93899 49518 87817
SMITHSONIAN LOGARITHMIC TABLES
60612 74444 81701 69290 53187
86131
0°31 50503 51503 52503 53502 54502
55502 56501 57501 58501 59500
60500 61500 62499 63499 64499
65498 66498 67498 68497 69497
70497 71497 72496 73496 74496
75495 76495 77495 78494 79494
80494 81493 82493 83493 84492
85492 86492 87491 88491 89491
90490 91490 92490 93490 94489
95489 96489 97488 98488 99488
29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
50355 50324 50292 50261 50229
50198 50166 50135 50103 50072
50040 50008 49977 49945 49913
49882 49850 49818 49787 49755
49723 49692 49660 49628 49596
49565 49533 49501 49469 49438
49406 49374 49342 49310 49278
49247 49215 49183 49151 49119
49087 49055 49023 48991 48959
48927 48895 48863 48831 48800
LOGARITHMIC TABLES TO THE BASE e
69863 56659 09158 88249 54770
69498 93154 86405 09856 24061
89513 66652 15858 97457 71719
98856 39026 52328 98808 38453
31198 36919 15437 26518 29872
85154 51961 89839 58275 16702
24498 40985 25433 37052 35000
78382 26244 37580 71329 86375
41547 95621 07317 35303 38190
74536 02845 81568 69100 23783
SMITHSONIAN LOGARITHMIC TABLES
05757 99554 14392 83994 41443
26296 91685 11410 87017 54871
93211 29198 45954 89582 76186
98873 34743 51875 16294 98934
82587 688 38 85000 91023 86406
17092 82347 41644 21519 22427
25583 99797 08289 15508 93925
30826 35092 43963 29803 06843
37918 41198 96902 54003 36927
52238 95309 56995 30280 16927
0332 00487 01487 02487 03486 04486
05486 06485 07485 08485 09484
10484 11484 12483 13483 14483
15482 16482 17482 18482 19481
20481 21481 22480 23480 24480
25479 26479 27479 28478 29478
30478 31477 32477 33477 34476
35476 36476 37475 38475 39475
40474 41474 42474 43473 44473
45473 46472 47472 48472 49471
43553 11289 79014 46730
14435 82130 49816 17491 85157
52812 20458 88093 59719 23334
90940 58535 26121 93696 61262
28817 96363 63898 31424 98939
30952
58145 85980 14456 43573 73331
03732 34774 66458 98784 31753
65365 99620 34517 70058 06243
43071 80543 18659 57419 96824
36874 77568 18908 60893 03523
46799 90721 35289 80503 26364
72871 20026 67827 16276 65372
15116 65507 16547 68235 20572
73557 27192 81475 36407 91989
062 |.07320 09999
29999 39999 49999
59999 69999 79999 89999 99999
08999 19999 29999 39999 49999
59999 69999 719999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
09999 19999 29999 39999 49999
59999 69999 79999 89999 99999
48639
48607 48575 48543 48511 48479
48447 48415 48383 48351 48318
48286 48254 48 222 48190 48158
48125 48093 48061 48029 47996
47964 47932 47900 47867 47835
47803 47770 47738 47706 47673
47641 47609 471576 47544 47512
47479 47447 47414 47382 47349
47317 47284 47252 47219 47187
65
66 LOGARITHMIC TABLES TO THE BASE e
79203 0332 50471 66445 47154 54706 51471 33941 47122 29264 52471 01426 29999 47089 02877 53470 68902 39999 47057 75546 42669 54470 36367 49999 47024
47271 22430 55470 03823 59999 46992 18052 76233 56469 71268 69999 46959 87891 61990 57469 38704 79999 46927 56788 37561 58469 06130 89999 46894 24743 60753 59468 73545 99999 46862
91757 89319 40951 09999 46829 57831 80959 08347 19999 46796 22965 93320 75732 29999 46764 87160 83997 43108 39999 46731 50417 10531 10474 49999 46698
12735 30410 77829 59999 46666 74116 01070 16230 45175 69999 46633 34559 79893 50231 12511 79999 46600 94067 24210 61663 79836 89999 46568 52638 91299 07579 47152 99999 46535
10275 38383 91011 70465 14458 09999 46502 66977 22637 67396 71464 81753 19999 46470 22745 01180 50990 72464 49039 29999 46437 77579 31080 21271 73464 16315 39999 46404 31480 69352 29335 74463 83580 49999 46371
84449 72960 04278 75463 50836 59999 46339 36486 98814 59576 76463 18082 69999 46306 87593 03774 99447 77462 85318 79999 46273 37768 44648 25206 78462 52543 89999 46240 87013 78189 41613 79462 19759 99999 46208
35329 61101 63210 80461 86965 09999 46175 82716 50036 20644 81461 54161 19999 46142 29175 01592 66988 82461 21346 29999 46109 74705 72318 84044 83460 88522 39999 46076 19309 18710 88648 84460 55688 49999 46043
62985 97213 38949 85460 22844 59999 46011 05736 64219 40694 86459 89990 69999 45978 47561 76070 53496 87459 57125 79999 45945 88461 89056 97092 88459 24251 89999 45912 28437 59417 57594 89458 91367 99999 45879
67489 43339 93730 90458 58473 09999 45846 05617 96960 43074 91458 25569 19999 45813 42823 76364 28268 92457 92654 29999 45780 79107 37585 63235 93457 59730 39999 45747 14469 36607 59380 94457 26796 49999 45714
48910 29362 31785 95456 93852 59999 45681 82430 71731 05392 96456 60898 69999 45648 15031 19544 21178 97456 27934 79999 45615 46712 28581 42319 98455 94960 89999 45582 77474 54571 60349 99455 61976 99999 45550 001
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 67
07318 01301 .0333 00455 28981 45516 36244 31851 01454 95977 45483 64253 65440 02454 62963 29999 45450 91346 68397 03454 29939 39999 45417 17522 66044 04453 96905 49999 45384
42783 48800 05453 63861 59999 45351 67129 78271 06453 30807 69999 45318 90561 93331 07452 97743 79999 45285 13079 16195 08452 64669 89999 45252 34683 58480 09452 31585 99999 45219
55375 27264 10451 98491 09999 45186 75155 31126 11451 65387 19999 45153 94022 86187 12451 32273 29999 45120 11979 22132 13450 99149 39999 45087 29026 88229 14450 66015 49999 45053
45162 59342 15450 32871 59999 45020 60389 41923 16449 99717 69999 44987 74707 80009 17449 66553 79999 44954 88117 61199 18449 33379 89999 44921 00619 22632 19449 00195 99999 44888
12213 56944 20448 67001 09999 44854 22901 18227 21448 33797 19999 44821 32683 27973 22448 00583 29999 44788 41559 81009 23447 67359 39999 44755 49530 51431 24447 34125 49999 44721
56597 98514 25447 00881 59999 44688 62760 72629 26446 67627 69999 44655 68019 21139 27446 34363 79999 44622 72375 94295 28446 01089 89999 44588 75829 74489 51117 29445 67805 99999 44555
78381 93679 30445 34511 09999 80032 86733 31445 01207 19999 80783 07739 32444 67893 29999 80633 10739 33444 34569 39999 79583 49724 34444 01236 49999
771634 78637 35443 67892 59999 74787 51374 36443 34538 69999 71042 21780 01174 79999 66399 43654 67800 89999 60859 70746 34416 99999
54423 56756 01022 09999 47091 55339 67619 19999 38864 20098 34205 29999 29742 04592 00781 39999 19725 62328 67347 49999
08815 46769 33903 59999 97012 11326 00450 69999 84316 09365 66986 79999 10727 94204 33512 89999 56248 19112 00028 99999
SMITHSONIAN LOGARITHMIC TABLES
68 LOGARITHMIC TABLES TO THE BASE e
.0333 50438 86598 51438 09477 52437 33026 29999 53437 57245 39999 10494 54437 82135 49999
50675 55436 07695 59999 29969 56436 33927 69999 08376 57436 60829 79999 85896 58435 88402 89999 62529 59435 16647 99999
38277 60435 45564 09999 13139 61434 75153 19999 87117 62434 05413 29999 60210 63434 36346 39999 32420 64433 67951 49999
03747 65433 00229 59999 74191 66433 33180 69999 43753 67432 95611 66804 79999 12434 68432 61938 01101 89999 80233 69432 28254 36072 99999
47152 70431 94560 71716 09999 13191 71431 60857 08034 19999 78350 72431 27143 45026 29999 42631 73430 93419 82693 39999 06033 74430 59686 21034 49999
68557 75430 25942 60049 59999 30203 76429 92188 99740 69999 90973 77429 58425 40105 79999 50867 78429 24651 81146 89999 09884 79428 90868 22862 99999
68027 5 80428 57074 65254 09999 25294 81428 23271 08322 19999 81687 82427 89457 52065 29999 37207 83427 55633 96485 39999 91853 84427 21800 41582 49999
45626 85426 87956 87355 59999 98528 86426 54103 33805 69999 50557 87426 20239 80932 79999 01716 88425 86366 28736 89999 52003 89425 52482 77218 99999
01421 90425 18589 26378 09999 49969 91424 84685 76215 19999 97647 92424 50772 26730 29999 44457 93424 16848 77924 39999 90399 94423 82915 29796 49999
35474 95423 48971 82346 59999 79681 96423 15018 35576 69999 23022 97422 81054 89485 79999 65496 98422 47081 44072 89999 07106 99422 13097 99340 99999
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 69
47850 07195 45618 0334 00421 42165 87729 55807 07149 01421 42131 26745 00905 72734 02421 29999 42097 64896 93264 75400 03420 39999 42063 02185 83612 74100 04420 49999 42029
38612 22633 58962 05420 45223 59999 41995 74176 60966 56536 06419 05252 69999 41961 08879 49206 35039 07419 65962 79999 41927 42721 37903 09583 08419 27354 89999 41893 75702 77562 47400 09418 89427 99999 41859
07824 18645 73060 : 10418 52181 09999 41825 39086 11569 73678 11418 15617 19999 41791 69489 06707 04116 12417 79736 29999 41757 99033 54385 92179 13417 44536 39999 41723 27720 04890 43798 14417 10019 49999 41688
55549 08460 48210 15416 76185 59999 41654 82521 15291 83131 16416 43034 69999 41620 08636 75536 19915 17415 10565 79999 41586 33896 39301 28713 18415 78780 89999 41552 58300 56650 83623 19415 47679 99999 41518
81849 77604 67825 20414 17261 09999 41483 04544 52138 78721 21414 87526 19999 41449 26385 30185 33056 22414 58476 29999 41415 47372 61632 72039 23413 30110 39999 41381 67506 96325 66451 24413 02429 49999 41346
86788 84065 21754 25413 75432 59999 41312 05218 74608 83179 26412 49120 69999 41278 22797 17670 40823 27412 23493 79999 41244 39524 62920 34723 28412 98552 89999 41209 55401 59985 59933 29411 74296 99999 41175
70428 58449 71591 30411 50725 09999 41141 84606 07852 89976 31411 27840 19999 41106 97934 57692 05560 32410 05642 29999 41072 10414 57420 84055 33410 84129 39999 41038 22046 56449 71443 34410 63303 49999 41003
32831 04145 99015 35409 43164 59999 40969 42768 49833 88383 36409 23712 69999 40935 51859 42794 56505 37409 04946 79999 40900 60104 32266 20684 38408 86868 89999 40866 67503 67444 03574 39408 69477 99999 40832
74057 97480 38169 40408 52774 09999 40797 79767 71484 72792 41407 36759 19999 40763 84633 38523 76074 42407 21432 29999 40728 88655 47621 41920 43407 06793 39999 40694 91834 47758 94479 44406 92842 49999 40659
94170 87874 93100 45406 79580 59999 40625 95665 16865 37278 46406 67007 69999 40590 96317 83583 71599 47405 55123 79999 40556 96129 36840 90678 48405 43929 89999 40521 95100 25405 44082 49405 33423 99999 40487
SMITHSONIAN LOGARITHMIC TABLES
70 LOGARITHMIC TABLES TO THE BASE e
98003 0°34 50404 40452 996 03318 51404 19999 40418 481 89992 52403 29999 40383 956 06623 53403 39999 40349 421 01770 54403 91246 49999 40314 876
23946 55402 84881 59999 40280 321 21624 56402 79208 69999 40245@56 43235 57402 74225 79999 40211 181 37168 58401 69934 89999 40176 596 51769 59401 66334 99999 40142 001
35344 60401 63426 09999 40107 396 36154 61400 61209 19999 40072 781 02421 62400 59685 29999 40038 156 82325 63400 58853 39999 40003
24003 64399 58713 49999 39968 876
75551 65399 59266 59999 39934 85023 66399 60512 69999 39899 00432 67398 62451 719999 39864 69749 68398 65083 89999 39830 40904 69398 68409 99999 39795
61786 70397 72428 09999 39760 80240 71397 77141 19999 39726 44074 72397 82548 29999 39691 01050 73396 88649 39999 39656
98892 74396 95445 49999 39621
85282 75396 02935 59999 39587 07861 76395 11120 69999 39552 14228 77395 20001 79999 39517 51942 78394 29576 89999 39482 68520 79394 39847 99999 39448
11438 80394 50814 09999 39413 28134 81393 62476 19999 39378 66001 82393 74834 29999 39343 72393 83393 87889 39999 39308 94624 84392 01640 49999 39273
79966 85392 16088 59999 39239 75651 86392 31233 69999 39204 28870 87391 47074 79999 39169 86774 88391 63613 89999 39134 96472 89391 80849 99999 39099
05036 90390 98783 09999 39064 59492 91390 17415 19999 39029 06831 92390 36745 29999 38994 94001 93389 56773 39999 38959 67910 94389 77499 49999 38924
75426 95389 98924 59999 38889 63375 96388 21048 69999 38854 78547 97388 43871 79999 38819 67688 98387 67393 89999 38784 77505 99387 91615 99999 38750 001
SMITHSONIAN LOGARITHMIC TABLES
LOGARITHMIC TABLES TO THE BASE e 71
39209 54665 67563 .0°35 00387 16536 38714 95128 45797 16043 01386 42157 38679 50231 97486 81451 02386 68478 29999 38644 04520 56282 05815 03386 95500 39999 38609 57994 68690 46510 04385 23222 49999 38574
10654 81179 80798 05385 51644 59999 38539 62501 40178 10376 06385 19128 80767 69999 38504 13534 92073 65902 07384 84066 10591 79999 38469 63755 83215 11530 08384 48993 41117 89999 38434 13164 59911 49425 09384 13910 72344 99999 38399
61761 68432 24280 10383 78818 04272 09999 38364 09547 55007 27824 11383 43715 36903 19999 38329 56522 65827 03322 12383 08602 70235 29999 38294 02687 47042 50074 13382 73480 04270 39999 38259 48042 44765 27897 14382 38347 39007 49999 38223
92588 05067 61616 15382 03204 74447 59999 38188 36324 73982 45534 16381 68052 10589 69999 38153 79252 97503 47902 17381 32889 47435 79999 38118 21373 21585 15384 18380 97716 84984 89999 38083 62685 92142 77516 19380 62534 23236 99999 38048
03191 55052 51152 20380 27341 62192 09999 38012 42890 56151 44911 21379 92139 01851 19999 37977 81783 41237 63615 22379 56926 42215 29999 37942 19870 56070 12719 23379 21703 83283 39999 37907 57152 46369 02741 24378 86471 25055 49999 37871
93629 57815 53675 25378 51228 67532 59999 37836 29302 36051 99408 26378 15976 10714 69999 37801 64171 26681 92125 27377 80713 54601 79999 37766 98236 75270 06710 28377 45440 99193 89999 37730 31499 27342 45141 29377 10158 44491 99999 37695
63959 28386 40876 30376 74865 90494 09999 37660 95617 23850 63235 31376 39563 37203 19999 37624 26473 59145 21779 32376 04250 84618 29999 37589 56528 79641 70675 33375 68928 32739 39999 37554 85783 30673 13059 34375 33595 81567 49999 37518
14237 57534 05397 35374 98253 31101 59999 37483 41892 05480 61833 36374 62900 81342 69999 37448 68747 19730 58535 37374 27538 32290 79999 37412 94803 45463 38031 38373 92165 83945 89999 37377 20061 27820 13544 39373 56783 36308 99999 37342
44521 11903 73319 40373 21390 89379 09999 37306 68183 42778 84939 41372 85988 43157 19999 37271 91048 65471 99643 42372 50575 97643 29999 37235 13117 24971 56633 43372 15153 52837 39999 37200 34389 66227 87376 44371 79721 08740 49999 37164
54866 34153 19898 45371 44278 65352 59999 37129 74547 73621 83077 46371 08826 22672 69999 37093 93434 29470 10923 47370 73363 80701 79999 37058 11526 46496 46860 48370 37891 39440 89999 37022 28824 69461 47994 49370 02408 98888 99999 36987
SMITHSONIAN LOGARITHMIC TABLES
We LOGARITHMIC TABLES TO THE BASE e
43087 .0°35 50369 59046 36951 12060 51369 19913 36916 21027 52368 31491 29999 36880 14596 53368 43778 39999 36845 37341 54368 06776 49999 36809
33795 55367 70485 59999 36774 48455 56367 34905 69999 36738 25780 57367 00035 79999 36703 10192 58366 65877 89999 36667 46076 59366 32430 99999 36632
T1117 60366