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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

## Third-year Mathematics for Secondary Schools

Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...and loga N = n • Then M = am and N =an M N' lOSa(^)=mn Why? = logaAf— loga N Hence the logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. For example, log |- = log 8— log 3 EXEECISE Find log...

## Plane and Spherical Trigonometry

George Neander Bauer, William Ellsworth Brooke - Trigonometry - 1917 - 334 pages
...enables us to replace multiplication by addition with the aid of a table of logarithms. (b) The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. From (1) and (2) above we have, applying a law of exponents,...

William Charles Brenke - Algebra - 1917 - 212 pages
...of a product equals the sum of the logarithms of the factors. II. The logarithm of a fraction equals the logarithm of the numerator minus the logarithm of the denominator. III. The logarithm of any power of a number equals the exponent of the power times the logarithm of the...

## Elementary Functions and Applications

Arthur Sullivan Gale, Charles William Watkeys - Functions - 1920 - 464 pages
...Then pq = bmbn = 6m+n. Therefore log6 pq = m + n why? = log6 p + logi, q. 8. Theorem. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. Let p = bm and q = bn, whence log6 p = m and log6 q -...

## Plane and Spherical Trigonometry: With Stereographic Projections

James Atkins Bullard, Arthur Kiernan - Trigonometry - 1922 - 252 pages
...Thus, the logarithm of a product is the sum of the logarithms of the several factors. (2) The logarithm of the quotient of two numbers is equal to the logarithm...numerator minus the logarithm of the denominator. Let us use the same numbers as in the previous demonstration. (3) The logarithm of a number affected...

## Plumbers' Handbook

Samuel Edward Dibble - Plumbing - 1922 - 648 pages
...two or more numbers equals the sum of the logarithms of the numbers. 2. The logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. 3. The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent...

## Biomathematics

William Moses Feldman - Biology - 1923 - 454 pages
...2-2061 - 1-2614 = -9447 = log 8-805 x = 8-805. Explanation. — (i.) The logarithm of the fraction is equal to the logarithm of the numerator minus the logarithm of the denominator (rule (ii.) ). (ii.) The logarithm of the numerator is equal to the sum of the logarithms of its separate...

## The New International Encyclopędia, Volume 14

Encyclopedias and dictionaries - 1926 - 890 pages
...1. The logarithm of a product is equal to the sum of the logarithms of its factors. 2. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend less the logarithm of the divisor. 3. The logarithm of a number affected by an exponent is...