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" ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. "
Elements of Geometry and Trigonometry - Page 232
by Adrien Marie Legendre - 1838 - 269 pages
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A Treatise on Algebra: For the Use of Schools and Colleges

William Smyth - Algebra - 1858 - 344 pages
...therefore by adding the logarithm of 5 to that of 7. Since moreover the logarithm of a fraction will be equal to the logarithm of the numerator minus the logarithm of the denominator, it will be sufficient to place in the tables the logarithms of entire numbers. 201. Below we have a...
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Part 2

Joseph Ray - Algebra - 1852 - 420 pages
...first member to a form in which it shall also be divisible by the same factor. Since the logarithm of a fraction is equal to the logarithm of the numerator, minus the logarithm of the denominator (Art. 361), therefore, . log. (l+x)- log. (l+z)= log. ( 1±? ) . But, by division, we find 'x=l-\-xz...
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An Elementary Treatise on Logarithms: With Tables of the Logarithms of ...

Webster Wells - Logarithms - 1878 - 126 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
...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 of the 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 - 475 pages
...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 - 1882 - 60 pages
...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 of the 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 - 1883 - 298 pages
...Iog7056. 11. Iogl5552. 3. Iog56. 6. Iog567. 9. Iog504. 12. Iogl4406. 96. 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, •] — og.m at = n ) (y= logaw т-.. .,. ax m „m Dividing,...
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Elementary text-book of trigonometry

Robert Hamilton Pinkerton - Trigonometry - 1884 - 190 pages
...the logarithm of the divisor; or (what is the same thing differently expressed) the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. III. The logarithm of the power, positive or negative, of a number — the root of a number being considered...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 370 pages
...= . 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*=ml; whence, {^«gm. 10* = n ) ty = logn. Dividing, g_-.,1(,-'_5. _,, . m Whence,...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 376 pages
...= . 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 ; whence, }« = |«*«. (y = \ogn. ,-.. .,. 10* m , m Dividing, -_ = _, or 10*-'...
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