 | Webster Wells - 1896 - 236 sider
...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 a = m. whence f > "*1вИВв, .i a* = n > (i/ = logan. Dividing the assumed equations,... | |
 | Webster Wells - 1897 - 422 sider
...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... | |
 | Webster Wells - 1897 - 384 sider
...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 - 1901 - 818 sider
...+ 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 - 1901 - 812 sider
...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.) - 1903 - 390 sider
...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 - 1906 - 550 sider
...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 - 1906 - 484 sider
...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 - 1908 - 456 sider
...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 - 1909 - 184 sider
...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... | |
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N .•. def. (2), x— x1 is the logarithm of that is to say, The logarithm of a fraction, or of the quotient of two numbers, is equal to the logarithm of the numerator minus the logarithm of the denominator. III. Raise both members of equation (1) to... 
