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N .-. by definition, x — x" 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...
Higher Geometry and Trigonometry: Being the Third Part of a Series on ... - Page 81
by Nathan Scholfield - 1845 - 232 pages

## New Plane and Spherical Trigonometry

Webster Wells - Trigonometry - 1896 - 236 pages
...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,...

## Essentials of Algebra

Webster Wells - 1897 - 422 pages
...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...

## Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1897 - 378 pages
...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....

## Elements of Trigonometry: Plane and Spherical

Andrew Wheeler Phillips, Wendell Melville Strong - Trigonometry - 1898 - 376 pages
...is equal to the sum of the logarithms of the numbers. Thus loga;//я = logaw + logeя. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. Thus log»— — logam — logan. n The logarithm of...

## Plane Trigonometry, for Colleges and Secondary Schools

Daniel Alexander Murray - Plane trigonometry - 1899 - 342 pages
...product of any number of factors is equal to the sum of the logarithms of the factors. (2) T7(e 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...

## The Elements of Plane Trigonometry

Pitt Durfee - Plane trigonometry - 1900 - 340 pages
...above by the second, m 10* m — = — = 10x-v, or log— = x — y = log m — logn. II. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the . divisor. Kaising m = 10J; to the /,'th power, ink = 10*'*, or...

## College Algebra

James Harrington Boyd - Algebra - 1901 - 818 pages
...+ logap. [(6)] E. g. Loge 42= loge (2x3x7) = loga2+loga3 + loga7. 6. The logarithm of aj 'ˇ-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...

## College Algebra

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)...