 | Elmer Adelbert Lyman, Edwin Charles Goddard - Plane trigonometry - 1899 - 188 pages
...equals the index of the power times the logarithm of the number. IV. The logarithm of a root equals the logarithm of the number divided by the index of the root. For if ax = n and av = m, then nxm = ax+v, .•. logwm = x + y = logn + logm; and n .t. m = ax~v, .'.log—... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 484 pages
...exponent is a positive fraction whose numerator is 1, this principle may be conveniently stated thus : The logarithm of a root of a number is the logarithm of the number divided by the index of the root. For, lo E. д., If log, 2401 = 4, what is log7 We have log, л/2401 = \ log, 2401 =1-4 = 2. 2 2¡ 416... | |
 | Elmer Adelbert Lyman, Edwin Charles Goddard - Trigonometry - 1900 - 228 pages
...equals the index of the power times the logarithm of the number. IV. The logarithm of a r00t equals the logarithm of the number divided by the index of the root. For if a* = n and a" = m, then nxwI = a•"~", ... log nm = x + y = log n + logra; and n •+• m... | |
 | James Morford Taylor - Algebra - 1900 - 504 pages
...number multiplied by the exponent of the power ; and the logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. Ex. 1. Given Iog102 = . 30103 and Iogi03 = .47712 ; find Iog10^/720. logio -У720 = J Iog10 (2s x 32... | |
 | George Egbert Fisher - 1900 - 444 pages
...exponent is a positive fraction whose numerator is 1, this principle may be conveniently stated thus : The logarithm of a root of a number is the logarithm of tllr number divided by the index of the root. "For, Iogb (m') = -1- log m = l^^. Eg, If Iog, 2401 =... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 324 pages
...exponent is a positive fraction whose numerator is 1, this principle may be conveniently stated thus : The logarithm of a root of a number is the logarithm of the number divided by the index of the root. For, log» (mï) = i log m = 1-2i^L Eg, If log, 2401 = 4, what is log, V2401 ? We have log, V2401 =... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 664 pages
...exponent is a positive fraction whose numerator is 1, this principle may be conveniently stated thus : The logarithm of a root of a number is the logarithm of the number divided by the index of the root. For, logl (m«) = llog m = Ч Ч Eg, If log; 2401 = 4, what is log, л/2401 ? We have log?V2401 =4lo... | |
 | James Harrington Boyd - Algebra - 1901 - 818 pages
...8.431798 — 10 Hence, log.-f- = 8.732828—10 Of log x - 3.664140—10 x = .000000461466. 576. Roots. — The logarithm of a root of a number is the logarithm of the number divided by the index of the root EXAMPLES. 1. Calculate x = V'7239.812. log * = f[ loS 7239.812 log 7239. 812 = 3.859728. Hence log... | |
 | James Harrington Boyd - Algebra - 1901 - 812 pages
...8.431798—10 Hence, log™; = 8.732828—10 ¿' 5 log x = 3.664140—10 x = .000000461466. 576. Roots. — The logarithm of a root of a number is the logarithm of the number divided by the index of the root. EXAMPLES. 1. Calculate x = V7239.812. log. r = ± log 7239. 812 log 7239. 812 = 3.859728. Hence log... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 646 pages
...is a positive fraction whose numerator is 1, this principle may be conveniently stated thus : TJie logarithm of a root of a number is the logarithm of the number divided by the index of the root. For, logs (»»') = -log m = }2Sï™. Ч 9 Eg, If log, 2401 = 4, what is log, V2401 ? We have log,... | |
| |
The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 
