| Webster Wells - Algebra - 1897 - 378 pages
....3010, log 3 = .4771, log 5 = .6990, and log 7 = .8451, find: 398. In any system, the logarithm of a **fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.** 2. log 35. 7. log 126. 12. log 324. 17. log 1125. 3. log 50. 8. log 196. 13. log 378. 18. log 2625.... | |
| James Harrington Boyd - Algebra - 1901 - 818 pages
...+ logap. [(6)] E. g. Loge 42= loge (2x3x7) = loga2+loga3 + loga7. 6. The logarithm of aj '¡-action **is equal to the, logarithm of the numerator minus the logarithm of the denominator.** Thus m — loga Proof. — Let — be the fraction, and suppose (1) m = a*, and (2) n = о». By ?55б... | |
| James Harrington Boyd - Algebra - 1901 - 816 pages
...loga/>. [(6)] E. g. Log0 42 = Iog0 (2x3x7) = loge2+loga3 + log07. 6. The logarithm of a fraction it **equal to the logarithm of the numerator minus the logarithm of the denominator.** Thus bga ^ = loga m — logan. Proof. — Let •- be the fraction, and suppose (1) m = a-, and (2)... | |
| American School (Chicago, Ill.) - Engineering - 1903 - 392 pages
...Substituting for a; and y their values, loga mn = loga m -f- loga n 62. In any system the logarithm of a **fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.** Assume ax = m (1) J Then ( loga m = x And a" = n (2) j by § 56 j loga n = y Divide equation (1) by... | |
| Webster Wells - Algebra - 1906 - 484 pages
...log 2646. 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~' = ??.... | |
| Webster Wells - Algebra - 1906 - 570 pages
...log 2646. 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 - 1908 - 470 pages
...log 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
...г/ (Def. 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... | |
| 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)... | |
| Ernest Julius Wilczynski - Plane trigonometry - 1914 - 296 pages
...of the divisor. The same fact may, of course, be stated in the equivalent form: the logarithm of a **fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.** According to the third index law (Art. 17, equation (3)), we have '° Therefore, we find from (1) M"... | |
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