 | Robert Fowler - 1861 - 426 pages
...number from 0 to зэ may be regarded as a power of that base. The " Logarithm" of a number is the index of the power to which the base must be raised to produce that number. If 4 be the base, then 42 = 16) And these equalities may be written log. 16 = : log. 8 = i Similarly,... | |
 | Lefébure de Fourcy (M., Louis Etienne) - Trigonometry - 1868 - 350 pages
...to the law of continuity and do not reproduce all numbers. The logarithm of a number to a given base is the exponent of the power to which the base must be raised to become equal to the given number. 4. Since a1 =a, a° = l, and a—=° =0, or а+°° =0, according... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...All numbers are regarded as powers of some one number, which is called the base of the system ; and the exponent of the power to which the base must be raised in order to be equal to a given number is called the logarithm of that number. The base of the common... | |
 | Webster Wells - Logarithms - 1878 - 124 pages
...то 90° 17 DEFINITIONS AND PROPERTIES. I, DEFINITION. The logarithm of a quantity to any given base, is the exponent of the power to which the base must be raised to equal the quantity. For instance, if ax = m, x is the exponent of the power to which the base, a, must... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...for 4 years and 6 months ? XLI. — LOGARITHMS. 444. The logarithm of a quantity to any given base, is the exponent of the power to which the base must be raised to equal the quantity. For example, if a* = m, x is the exponent of the power to which the base, a, must... | |
 | George Shoobridge Carr - Mathematics - 1880
...JHJHHUUo. . LOGARITHMS. 142 loga N = л1 signifies that af = N, or DEP. — The logarithm of a number is the power to which the base must be raised to produce that number. 143 logœ a = 1, log 1 = 0. 144 log MN = log M+ log N. log а = log M- log N. log (M)a = n log M. log... | |
 | Edwin Pliny Seaver, George Augustus Walton - Algebra - 1881 - 304 pages
...positive value except 1. The base of the common system of logarithms is 10. 384. The logarithm of a number is the exponent of the power to which the base must be raised to produce the number. The abbreviation log is used for the words the logarithm of. 385. The value of x which... | |
 | Webster Wells - 1883 - 298 pages
...cosж.) 10. sina;= aina sin (x + b). VI. LOGARITHMS. 84. 7%e logarithm of a quantity to a given base is the exponent of the power to which the base must be raised to equal the quantity. Thus, if a•= m, x is the exponent of the power to which the base a must be raised... | |
 | Simon Newcomb - Algebra - 1884 - 576 pages
...of a number, a constant number is assumed at pleasure and called the base. Def. The Logarithm of a number is the exponent of the power to which the base must Ъе raised to produce the number. The logarithm of x is written log x. Let us put a, the base ; x,... | |
 | George Shoobridge Carr - Mathematics - 1886 - 1036 pages
...in (96). LOGARITHMS. 142 log,, N = x signifies that a' = N, or DEF. — The logarithm of a number is the power to which the base must be raised to produce that number. 143 logaa = l, log 1 = 0. 144 log MN = log M+ log N. log ^ = log M— log N. log (Л/)" = « log M.... | |
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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 
