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" ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. "
Elementary Text-book of Trigonometry - Page 90
by Robert Hamilton Pinkerton - 1884 - 176 pages
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An Elementary Treatise on Logarithms: With Tables of the Logarithms of ...

Webster Wells - Logarithms - 1878 - 124 pages
...3 = 3 X log 2 + 2 X log 3 = 0.903090 + 0.954242 — 1.857332. 13. In any system, the logarithm of n fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. Assume the equations, a* = m ) ( x = log„ m \ whence, \ , a'J — n\ ' I y = loga и »~. ... a*...
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University Algebra

Webster Wells - Algebra - 1879 - 468 pages
...84. 8. log 7056. 11. log 15552. 3. log 56. 6. log 567. 9. log 504. 12. log 14406. 456. 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) , fж = loga m > whence. < -' 6" a' — nj ' \y = \ogan ... a* mm D1v1d1ng....
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University Algebra: Designed for the Use of Schools and Colleges

Webster Wells - Algebra - 1880 - 498 pages
...84. 8. log 7056. 11. log 15552. 3. logSG. 6. log 567. 9. log 504. 12. log 14406. 456. In any system the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denom inator. Assume the equations, al = m\ whence, /* = |°вa» = nj \y = bga ... а* т т Dividing,...
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Logarithms

Henry Nathan Wheeler - Logarithms - 1882 - 60 pages
...12300? 12300 = 100 X 123 = 102 x 102-0899 ; .-. logw 12300 = 2 + 2.0899 = 4.0899. § 7. In any system the logarithm of a fraction is equal to the logarithm...numerator minus the logarithm of the denominator. Proof: If I = bx, m = b>, then is logti = ж, logbm = у ; now — = - = b*-* ; .-. log»— = x —...
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A Practical Text-book on Plane and Spherical Trigonometry

Webster Wells - Trigonometry - 1883 - 234 pages
...5. Iog84. 8. Iog7056. 11. Iogl5552. 3. Iog56. 6. Iog567. 9. Iog504. 12. log 14406. 96. 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" = n ) ty = logaw ТА- -л- a" m , „ m Dividing, — = — , or a*~*...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 382 pages
...log 2 = .3010, log 3 = . 4771, log 5 =.6990, log 7 = .8451 ; find the values of the following : 344. The logarithm of a fraction is equal to the logarithm...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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A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 370 pages
...= 9.0601-10 colog. 0946 = 1.0241 9.7951 — 10 = log .6239, Ans. 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 find the logarithm of a fraction whose...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 324 pages
...colog8.709 = 9.0601-10 colog. 0946 = 1.0241 9. 7951 -10 = log .6239, Ans. 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 find the logarithm of a fraction whose...
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A Complete Course in Algebra

Webster Wells - 1885 - 368 pages
...709 = 9.0601 -10 colog. 0946 = 1.0241 9. 7951 -10 = log .6239, Ans. 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 find the logarithm of a fraction whose...
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Plane Trigonometry

Webster Wells - Plane trigonometry - 1887 - 158 pages
...colog8.709 = 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 oologarithm of the denominator. Or in general, to find the logarithm of a fraction whose terms...
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