 | Webster Wells - Algebra - 1906 - 550 pages
...3. log 84. 6. log 392. 9. log 1372. 12. log 24696. 422. 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 = t ; whence, \ o» = » Г \y = x = log.m, log.«. Dividing the assumed... | |
 | Webster Wells - Algebra - 1906 - 484 pages
...3. log 84. 6. log 392. 9. log 1372. 12. log 24696. 422. 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' = nj' I; Dividing the assumed equations, а- = ™,ora~' = ??.... | |
 | William James Milne - Algebra - 1908 - 480 pages
...numbers to a common base represent exponents of the same number, it follows that: 576. PKIXCIPLK. — The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minn» the logarithm of the divisor ; that is, To any base, log (?» -=-«) = log m — log... | |
 | Webster Wells - Algebra - 1908 - 456 pages
...2646. 3. log 84. 6. log 392. 9. log 1372. 12. log 24696. 88. 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 } v. Í x = log* m> ; whence, a" = n } [y = iogan. Dividing the assumed... | |
 | Edward Rutledge Robbins - Logarithms - 1909 - 184 pages
...of log). . •. log M • N = log M + log N (substitution). 89. THEOREM. The logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. Given: The fraction — • To Prove: log — = log .if— log N. NN Proof : Suppose 10* = M] flog... | |
 | Stimson Joseph Brown, Paul Capron - Algebra - 1910 - 212 pages
...orlog6»=y. We have m« =&*.&!' = &«"*, whence, by definition, Iog6 ( ran) = logs m + Iog6 n. IV. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. Using the same quantities as in III, we have ^ = b* =... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1912 - 504 pages
....-. log, (M-^- N) = x — y. Therefore, loga (M -=- N) = log,, M — loga Ж Rule. — In any system, the logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. EXAMPLE 1. Given log 2 = .3010 and log 3 = . 4771, find... | |
 | Edward Vermilye Huntington - Logarithms - 1912 - 32 pages
...logarithm of the first factor plus the logarithm of the second factor; (2) The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator; (3) The logarithm of the nth power of a number is equal to n times the logarithm of the number; (4)... | |
 | Robert Édouard Moritz - Trigonometry - 1913 - 562 pages
...cologio 3.1623. 3-1623 = log = log M + log = log M + colog N, Since — = M • — , we have NN that is, The logarithm of the quotient of two numbers is equal to the logarithm of the dividend plus the cologarithm of the divisor. EXERCISE 15 1. Given 53= 125, 52 = 25, 51 = 5; write... | |
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X _ y toga— = m — n = loga x — log0 y, (4) showing that the logarithm of the quotient of two numbers is equal to the logarithm of the numerator minus the logarithm of the denominator. 
