| 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~' = ??.... | |
| Webster Wells - Algebra - 1906 - 570 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... | |
| Daniel Alexander Murray - 1906 - 472 pages
...product of any number of factors is equal to the sum of the logarithms of the factors. (2) The logarithm **of the quotient of two numbers is equal to the logarithm of the numerator** diminished by the logarithm of the denominator. (4) The logarithm of the rth root of a number is equal... | |
| Webster Wells - Algebra - 1908 - 470 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... | |
| William James Milne - Algebra - 1908 - 476 pages
...common base represent exponents of the same number, it follows that: 576. PRINCIPLE. — The logarithm **of the quotient of two numbers is equal to the logarithm, of the** dividend minus the logarithm of the divisor ; that is, To any base, log (m ч- и) = log m — log... | |
| 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
...logarithms; then b x = m, or logj m=x; 6»=n, or logs n = y. We have whence, by definition, 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 2L = b *... | |
| 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)... | |
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