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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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## Ray's Algebra, Part Second: An Analytical Treatise, Designed for High ..., Del 2

Joseph Ray - 1852 - 396 sider
...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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## Elements of algebra

Robert Wallace - 1870
...=y', we shall have a"— * =-4, and, by the definition of logarithms, log. — = log. y — log. y'. Hence the logarithm of a fraction, or of the quotient...another, is equal to the logarithm of the numerator minus that of the denominator, or the logarithm of the divisor minus that of the dividend. (158.) If each...
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## An Elementary Treatise on Logarithms: With Tables of the Logarithms of ...

Webster Wells - 1878 - 96 sider
...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 - 1879 - 444 sider
...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 - 1880 - 475 sider
...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 - 43 sider
...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 - 214 sider
...Iogl5552. 3. Iog56. 6. Iog567. 9. Iog504. 12. log 14406. 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, a" = n ) ty = logaw ТА- -л- a" m , „ m Dividing, — = — , or a*~*...
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## Elementary text-book of trigonometry

Robert Hamilton Pinkerton - 1884 - 176 sider
...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

Webster Wells - 1885
...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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## 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*=ml; whence, {^«gm. 10* = n ) ty = logn. Dividing, g_-.,1(,-'_5. _,, . m Whence,...
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