Books Books
... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Elements of Geometry and Trigonometry - Page 232
by Adrien Marie Legendre - 1838 - 269 pages

## A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...16000 = log. 1600 = 4* + 2, log. 160000 —, &c. We have seen, in Art. 323, that the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. Hence, log. (y) = log. 5 = 1 — x. Hence, log. 50 = '2 — x, log. 5000 = log. 500 =3 — x, log....

## A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1847 - 503 pages
...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 the nth power. N"=a". .-. by definition, nx is the logarithm...

## The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848 - 334 pages
...PQKS = cf. af . a' . a" = a"+'+„ + „; hence log.PQBS = (2) The logarithm of a fractional quantity is equal to the logarithm of the numerator minus the logarithm of the denominator. Let a" = P and a* = Q, then x = }ogje and y = log.Q ; hence Q ~ u-- - ' .-. log,- — xy — log.P—...

## Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 384 pages
...was nearer 57 than 56; hence it would have been more exact to have added the former number. inator. The logarithm of a decimal fraction is found, by considering...logarithm a negative characteristic, greater by unity t/ian the number ofciphers between the decimal point and the first significant place of figures. Thus,...

## Bonnycastle's Introduction to Algebra: Containing the Indeterminate and ...

John Bonnycastle - Algebra - 1851 - 288 pages
...Hence, the logarithm of a fraction, or of the quotient arising from dividing one number by another, is equal to the logarithm of the numerator minus the logarithm of the denominator. And if each member of the common equation a? — y be raised to the fractional power denoted by —...

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

Joseph Ray - Algebra - 1852 - 410 pages
...first member 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. (14*)- log. (14*)= log. ( j±j? ) . But, by division, we find ^J=l-\-~...

## A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 356 pages
...log. 16000 = log. 1600=4a;+2, log. 160000=, &c. We have seen, in Art. 339, that the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. Hence, log. 5= log. (y) = l— a;. Hence.log. 50 =2— x, log. 5000 = log. 500 =3- x, log. 50000 =,...

## Mathematical Key: New Combinations in Respect to the Binomial Theorem and ...

Joseph B. Mott - Algebra - 1855 - 58 pages
...equation (1), log 6 = log^ — loga; therefore, log 2 = log p — log a : a that is, the logarithm of a fraction is equal to the logarithm of the numerator, minus the logarithm of the denominator. (THEOREM 2.) Or, for a more general theorem for fractions, let us resume the equation log ^ — log...