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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

## New High School Algebra

Webster Wells, Walter Wilson Hart - Algebra - 1912 - 504 pages
...N) = x — y. Therefore, loga (M -=- N) = log,, M — loga Ж Rule. — In any system, the logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. EXAMPLE 1. Given log 2 = .3010 and log 3 = . 4771, find...

## Plane and Sperical Trigonometry (with Five-place Tables): A Text-book for ...

Robert Édouard Moritz - Trigonometry - 1913 - 560 pages
...as h, k, l, m, n, etc., corresponding to a second set aA, o*, a', am, a", etc., hence, The logarithm of the quotient of two numbers is equal to the logarithm of the dividend diminished by the logarithm of the divisor, or, UQ = M + N, log Q = log M -log N. Thus log...

## Second Course in Algebra

Webster Wells, Walter Wilson Hart - Algebra - 1913 - 302 pages
...N) = x — y. Therefore, log, ( Ms- N) = loga M - log„ Ж Rule. — In any system, the logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. EXAMPLE 1. Given log 2 = .3010 and log 3=. 4771, find...

## Logarithmic and Trigonometric Tables

Herbert Ellsworth Slaught - Logarithms - 1914 - 398 pages
...divisor. The same fact may, of course, be stated in the equivalent form: the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. According to the third index law (Art. 17, equation (3)), we have Therefore, we find from (1) M» =...

## Plane Trigonometry and Applications

Ernest Julius Wilczynski - Plane trigonometry - 1914 - 296 pages
...divisor. The same fact may, of course, be stated in the equivalent form: the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. According to the third index law (Art. 17, equation (3)), we have '° Therefore, we find from (1) M"...

## Plane Trigonometry and Tables

George Wentworth, David Eugene Smith - Plane trigonometry - 1914 - 348 pages
...log^iВ. For example, log (247 x 7.21) = log 247'+ log 7.21. 5. Logarithm of a Quotient. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. For if A = 10*, then x = log A; and if B = 10", then у...

## Plane Trigonometry with Tables

Claude Irwin Palmer, Charles Wilbur Leigh - Plane trigonometry - 1914 - 308 pages
...numbers is equal to the logarithm of the dividend plus the cologarithm of the divisor. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend plus the cologarithm of the divisor. To find the cologarithm of a number, subtract the logarithm...

## Surveying Manual ; a Surveying

William David Pence - 1915 - 416 pages
...equal to the logarithm of the number divided by the index of the root. 5. The logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. 6. In dividing modified logarithms add a number to the positive and negative characteristics so that...