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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
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A Complete Course in Algebra

Webster Wells - 1885 - 368 pages
...4771, log 5 = .6990, log? = .8451 ; find the values of the following : 344. The logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. Assume the equations 10*=ml; whence, }* = logm. 10 = n ) (-У — logn. •*i -™,•"0'—™•...
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Plane Trigonometry

Webster Wells - Plane trigonometry - 1887 - 150 pages
....6990, log? = .8451 ; find the values of the following : 92. 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 ax = m] (x = \ogam, }• ; whence, < . , • 2. log6. 7. log 21. 12. log 98. 17....
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The Essentials of Plane and Spherical Trigonometry

Webster Wells - Trigonometry - 1887 - 196 pages
....6990, log 7 = .8451 ; find the values of the following : 92. 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 ' x = loga m, : log„ n. a" = m ) , ( x = ] > ; whence, .j 2. loge. 7. log 21....
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College Algebra: For the Use of Academies, Colleges, and Scientific Schools ...

Edward Albert Bowser - Algebra - 1888 - 876 pages
...of factors. Thus, log 30 = log (2 x 3 X 5) = log 2 + log 3 + log 5. (5) The logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. For let — be the fraction, and suppose n x = logm, y — log n. Then m = a*, n = a". Vfi fl*^ Therefore...
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A Short Course in Higher Algebra: For Academies, High Schools, and Colleges

Webster Wells - Algebra - 1889 - 584 pages
...5. log 84. 10. log 144. 15. log 375. 20. log 14406. 408. 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" ' cf = n (.y = lOga'1т^. . ,. . a* mm Dividing, we...
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College Algebra

Webster Wells - Algebra - 1890 - 560 pages
...log6048. 4. Iog63. 8. log210. 12. log 686. 16. logl2005. 500. 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 'r=™J; whence, Dividing, we have — = ™, or aj~r = m. a* nn Whence, log.—...
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Elementary Trigonometry

John Maximilian Dyer - Plane trigonometry - 1891 - 306 pages
...way the theorem can be extended to any number of factors. 106. Theorem 2. The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. щ Let — be the quotient, a the base ; we have to show that n log. - = log. m - log. и. n .Let m...
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Elementary Algebra

Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1895 - 508 pages
...of a product is equal to the sum of the logarithms of its factors. (2) The logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. (3) The logarithm of any power, integral or fractional, of any quantity is equal to the logarithm of...
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A Complete Algebra: For High Schools, Academies and Normal Schools

George Washington Hull - Algebra - 1895 - 358 pages
...= log 2 + log 3. log 2 = 0.3010 Iog3 = 0.4771 log 6 = 0.7781, Ans. EXAMPLES. 275. The logarithm of the quotient of two numbers is equal to the logarithm, of the dividend minus the logarithm of the divisor. Let m and n be any two numbers, and x and ,i/ their logarithms....
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Algebra for Schools and Colleges

William Freeland - Algebra - 1895 - 328 pages
...factors. 394. IV. Also if m* = a, and m? = b, m*-" = -. Hence, b log - = x — y ; that is, the logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. 395. V. Again, if. m* = a, m1" = af, and log ar = px =...
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