 | Webster Wells - 1887 - 200 sider
...709 = 9.0601 -10 colog .0946 = 1.0241 9.7951 — 10 = log .6239. It is evident from the above that the logarithm of a fraction is equal to the logarithm of the numerator plus the cologarithm of the denominator. Or in general, to fmd the logarithm of a fraction whose terms... | |
 | Edward Albert Bowser - 1888 - 868 sider
...; and so on for any number 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...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... | |
 | Webster Wells - 1889 - 584 sider
...14. log 147. 19. log 7056. 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...numerator minus the logarithm of the denominator. Assume the equations [• ; whence, •! - a" ' cf = n ¡ (.y = lOga'1т^. . ,. . a* mm Dividing, we... | |
 | Webster Wells - 1890 - 560 sider
...log 144. 11. log375. 15. log6048. 4. Iog63. 8. log210. 12. log 686. 16. logl2005. 500. In any system, the logarithm of a fraction is equal to the logarithm...numerator minus the logarithm of the denominator. Assume the equations °'r=™J; whence, Dividing, we have — = ™, or aj~r = m. a* nn Whence, log.—... | |
 | Webster Wells - 1890 - 604 sider
...- 10 colog .0946 = 1.0241 9.7951 - 10 = log .6239. ' • It is evident from the above example that the logarithm of a fraction is equal to the logarithm of the numerator plue the cologarithm of the denominator. Or in general, to find the logarithm of a fraction whose terms... | |
 | John Maximilian Dyer - 1891 - 306 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... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - 1891 - 606 sider
...proved that (1) the logarithm 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 diminished by the logarithm of the denominator ; (3) the logarithm of the £ith power of a number is... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - 1893 - 434 sider
...proved that (1) the logarithm 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 diminished by the logarithm of the denominator ; (3) the logarithm of the pih power of a number is... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - 1895 - 508 sider
...demonstrated, (1) The logarithm 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...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... | |
 | Webster Wells - 1896 - 236 sider
...245. 12. log 875. 16. log 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...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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... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. 
