 | Robert Édouard Moritz - Trigonometry - 1913 - 562 pages
...shared, of course, by all others who deal much with numerical calculation. The logarithm * of a number to a given base is the exponent of the power to which the base musí be raised to produce the number. For example, since 102 = loo, 2 = logio 100; 103 = looo, 3 =... | |
 | International Correspondence Schools - Coal mines and mining - 1913 - 360 pages
...must be raised to produce a given number. The base of the common system is 10, and, as a logarithm is the exponent of the power to which the base must be raised in order to be equal to a given number, all numbers are to be regarded as powers of 10; hence, 10°... | |
 | William David Pence, Milo Smith Ketchum - Surveying - 1915 - 418 pages
...OF TABLES. TABLE I. LOOAEITHMS OF NUMBERS.— The logarithm of any number to any base is the index of the power to which the base must be raised to equal the number. The logarithms given in Table I are Briggs or Common Logarithms in which the base is 10. Then... | |
 | William David Pence - 1915 - 416 pages
...EXPLANATION OF TABLES. TABLE I. LOGARITHMS OF NUMBERS.—The logarithm of any number to any base is the index of the power to which the base must be raised to equal the number. The logarithms given in Table I are Briggs or Common Logarithms in which the base is 10. Then... | |
 | Raymond Benedict McClenon - Functions - 1918 - 266 pages
...abbreviated x = logab. The number b in this equation is called the antilogarithm. Thus a logarithm is the exponent of the power to which the base must be raised in order to get the antilogarithm. "8~^ = J-" means exactly the same as "Iog8| = — ^." 8 is the base,... | |
 | John Rome Battle - Lubrication and lubricants - 1920 - 1280 pages
...of logarithms to the base (b). We can then define a logarithm as follows: The logarithm of a number to a given base is the exponent of the power, to which the base must be raised, to produce the number. Thus, if (9) is taken as the base, then: Log. 81=2 because 9!= 81 Log. 729 = 3... | |
 | William Neville Rose - Mathematics - 1920 - 542 pages
...as those connecting indices. In general : The logarithm of a number to a certain base is the index of the power to which the base must be raised to equal the number. It is not necessary to understand the theory of logs to be able to use them for ordinary calculations,... | |
 | Walter Gustav Borchardt - Arithmetic - 1921 - 260 pages
...equation may be written x = Iog0 N. DBF. — Tfie logarithm of a number to a given base is the index of the power to which the base must be raised to equal the number. Since 3' = 81 .-. Iog381 = 4 2s = 32 .-. Iog232 = 5 a°=l .-. log0l =0 al = a .-. Iog0 a =1.... | |
 | Frank Loxley Griffin - Calculus - 1922 - 548 pages
...5.6291 51° 16/3 96.285 112.34 106 28 VI, § 155] 223 And in general, the logarithm of any number to any base is the exponent of the power to which the base must be raised to produce the number. The " common logarithms," to the base 10, which we have been using, are by far... | |
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Any positive number being selected as a base, the logarithm of any other positive number is the exponent of the power to which the base must be raised to produce the given number. Thus, if a 
