| Webster Wells - 1885 - 368 pages
...= . 4771, log 5 = .6990, log? = .8451 ; find the values of the following : 344. The logarithm of a **fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.** Assume the equations 10*=ml; whence, }* = logm. 10» = n ) (-У — logn. »•*i» £-™,•"0'—™•... | |
| Webster Wells - Plane trigonometry - 1887 - 150 pages
...log5 = .6990, log? = .8451 ; find the values of the following : 92. In any system, the logarithm of a **fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.** Assume the equations ax = m] (x = \ogam, }• ; whence, < . , • 2. log6. 7. log 21. 12. log 98. 17.... | |
| Webster Wells - Trigonometry - 1887 - 196 pages
...log5 = .6990, log 7 = .8451 ; find the values of the following : 92. In any system, the logarithm of a **fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.** Assume the equations ' x = loga m, : log„ n. a" = m ) , ( x = ] > ; whence, .j 2. loge. 7. log 21.... | |
| Edward Albert Bowser - Algebra - 1888 - 876 pages
...any number of factors. Thus, log 30 = log (2 x 3 X 5) = log 2 + log 3 + log 5. (5) The logarithm of a **fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.** For let — be the fraction, and suppose n x = logm, y — log n. Then m = a*, n = a". Vfi fl*^ Therefore... | |
| Webster Wells - Algebra - 1889 - 584 pages
...log 7056. 5. log 84. 10. log 144. 15. log 375. 20. log 14406. 408. In any system, the logarithm of a **fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.** Assume the equations [• ; whence, •! - a" ' cf = n ¡ (.y = lOga'1т^. . ,. . a* mm Dividing, we... | |
| Webster Wells - Algebra - 1890 - 602 pages
...log 12005. 5. log 105. 9. log 135. 13. log 1134. 17. Iog15876. 500. In any system, the logarithm of a **fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.** Assume the equations a = m \- ; whence, a* = n ) Dividing, we have — = _, or a" * = a* nw Whence,... | |
| John Maximilian Dyer - Plane trigonometry - 1891 - 306 pages
...way the theorem can be extended to any number of factors. 106. Theorem 2. The logarithm of a quotient **is equal to the logarithm of the numerator minus the logarithm of the denominator.** щ Let — be the quotient, a the base ; we have to show that n log. - = log. m - log. и. n .Let m... | |
| Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1895 - 508 pages
...logarithm of a product is equal to the sum of the logarithms of its factors. (2) The logarithm of a **fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.** (3) The logarithm of any power, integral or fractional, of any quantity is equal to the logarithm of... | |
| Webster Wells - Trigonometry - 1896 - 242 pages
...log 12005. 5. log 75. 9. log 210. 13. log 686. 17. log 15876. 77. In any system, the logarithm of a **fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.** Assume the equations ; whence, J *-""•-* a» = n ) ( y = log. n. Dividing the assumed equations,... | |
| Webster Wells - Algebra - 1897 - 422 pages
...log 12005. 6. log 40. 11. log 625. 16. log 686. 21. log 15876. 398. In any system, the logarithm of a **fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.** Assume the equations a' = m\ <x = legam, \ ; whence, \ a? — nl ( ;j = log. н. Dividing the assumed... | |
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