| Elmer Adelbert Lyman, Edwin Charles Goddard - Plane trigonometry - 1899 - 178 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 - 1899 - 506 pages
...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.** ,ir For, logi (m') = llog m = Ч Ч Eg, If Iog7 2401 = 4, what is Iog7 V2401 ? We have Iog7 V2401 =... | |
| James Morford Taylor - Algebra - 1900 - 508 pages
...logarithm of the 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... | |
| Elmer Adelbert Lyman, Edwin Charles Goddard - Trigonometry - 1900 - 224 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... | |
| George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 488 pages
...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... | |
| James Harrington Boyd - Algebra - 1901 - 818 pages
...COROLLARY. —Put n — - for n in (5), then (6) loga (mr) = ;loga"*That is, ?Ae logarithm of a root of a **number is equal to the logarithm of the number divided by the index of the root.** Kg., 559. It follows from (5), (6), and (7) that by the use of logarithms the operations of multiplication... | |
| William James Milne - Algebra - 1901 - 464 pages
...logarithms are simply exponents, it follows that : 474. PRINCIPLE. — The logarithm of a root of a **number is equal to the logarithm of the number divided by the index of the** required root; that is, , „,- log m lo any base, log vm = The above principle may be established... | |
| George Egbert Fisher - 1901 - 324 pages
...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 Eg, If logr 2401 = 4, what is log, V2401 ? We have log, д/2401 = - log, 2401 = - . 4 = 2.... | |
| James Harrington Boyd - Algebra - 1901 - 818 pages
...¿' 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 - 664 pages
...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... | |
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