 | George Egbert Fisher, Isaac Joachim Schwatt - 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 =... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 484 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 ALGEBRA.... | |
 | 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, 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 2 21.... | |
 | George Egbert Fisher - 1901 - 320 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. EXERCISES... | |
 | James Harrington Boyd - Algebra - 1901 - 812 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... | |
 | James Harrington Boyd - Algebra - 1901 - 818 pages
...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... | |
 | Thomas Ulvan Taylor, Charles Puryear - Trigonometry - 1902 - 248 pages
...Therefore, log a w p =^a:, or, substituting for x its value, (d) The logarithm of a root of a number equals the logarithm of the number divided by the index of the root. Thus, Prcof. Let n be the number and r the index of the root. Then, log a Vw = log a n~ r = - log a... | |
 | John Marvin Colaw - Algebra - 1903 - 444 pages
...13. .03928. 5. 782. 8. .0282. 11. 5745. 14. 482. The logarithm of the root of a number is equal to the logarithm of the number divided by the index of the root. Thus, VI00OO = Vl04 = 10^. .-. log VlO0O0 = 4 -=- 2 = 2. In general, if log m = x and a = any root... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...Substituting for x its value, loga (»i?) = p loga m 64. The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. By algebra, Therefore, by Art. 63, 65. A few examples will illustrate these principles. Given that... | |
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The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 
