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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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