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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... "
An Introduction to Algebra, with Notes and Observations: Designed for the ... - Side 251
av John Bonnycastle - 1829 - 312 sider
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - 1885 - 349 sider
...4771, log 5 =.6990, log 7 = .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*= wence y=logn. =w}; whence, = ?! ) Dividing, = or 10— = -• 10" nn VYL...
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Plane Trigonometry

Webster Wells - 1887 - 103 sider
....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 - 1887 - 151 sider
....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 - 1888 - 540 sider
...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 - 1889 - 426 sider
...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 - 1890 - 577 sider
...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 - 1891 - 266 sider
...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 - 1895 - 478 sider
...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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New Plane and Spherical Trigonometry

Webster Wells - 1896 - 126 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,...
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Essentials of Algebra for Secondary Schools

Webster Wells - 1897 - 358 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....
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