Books Books N .-. by definition, x — x" 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... Higher Geometry and Trigonometry: Being the Third Part of a Series on ... - Page 81
by Nathan Scholfield - 1845 - 232 pages ## Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1877 - 458 pages
...numbers. Also, since powers of the same quantity are divided by subtracting their exponents, the logarithm of the quotient of two numbers is equal to the logarithm of the dividend diminished by that of the divisor. Since the logarithm of 10 is 1, if a number be multiplied... ## An Elementary Treatise on Logarithms: With Tables of the Logarithms of ...

Webster Wells - Logarithms - 1878 - 126 pages
...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*... ## University Algebra

Webster Wells - Algebra - 1879 - 468 pages
...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.... ## University Algebra: Designed for the Use of Schools and Colleges

Webster Wells - Algebra - 1880 - 498 pages
...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,... ## Logarithms

Henry Nathan Wheeler - 1882 - 60 pages
...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 —... ## A Practical Text-book on Plane and Spherical Trigonometry

Webster Wells - Trigonometry - 1883 - 234 pages
...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*~*... ## Elementary text-book of trigonometry

Robert Hamilton Pinkerton - Trigonometry - 1884 - 194 pages
...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... ## Mathematical tables for trigonometrical, astronomical, and nautical ...

Henry Law - 1884 - 568 pages
...the logarithms of m and n is the logarithm of their product. PROPOSITION N. THEOREM. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend, with the logarithm of the divisor subtracted from it. Let X and I denote the same as in the... ## A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 382 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*= wence y=logn. =w}; whence, = ?! ) Dividing, = or 10— = -• 10" nn VYL... 