| Bewick Bridge - Algebra - 1818 - 254 pages
...the logarithm of =x— a;""=log. a'— log. a""" Я = log. IV— log.ra; from hence it appears that " the logarithm of " the quotient of any two numbers is equal to the difference of (N\ — ) " is equal to the logarithm of its numerator minus the logarithm " of its denominator."... | |
| Bewick Bridge - Algebra - 1821 - 648 pages
....'. the logarithm of _ =x- x""=log. a*-log. of"" n = log. N— log. n ; from hence it appears that " the logarithm of " the quotient of any two numbers is equal to the difference of lN\ " their logarithms; and that the logarithm of a. fraction ( — J " is equal to the... | |
| George Peacock - Algebra - 1830 - 732 pages
...Log' — ; = log' n — log' n', or the logarithm of the n quotient of two numbers or quantities, is the logarithm of the dividend diminished by the logarithm of the divisor, and conversely. (3) Log' np=p log' n, or the logarithm of the pA, or any power of a number is found... | |
| William Galbraith - Astronomy - 1834 - 454 pages
...therefore, N the logarithm of — =x — .r^log. r* — log. r^=log. N — log. n ; hence it appears, that the logarithm of the quotient of any two numbers is equal to the difference of their logarithms ; and that the logarithm (N\ — j is equal to the logarithm of its... | |
| George Darley - 1835 - 142 pages
...logarithm of the product of any two numbers is equal to the sum of their logarithms, ibid. ART. 4. The logarithm of the quotient of any two numbers is equal to the difference of their logarithms, 7ART. 5. The logarithm of the power of any number is equal to the logarithm... | |
| Benjamin Peirce - Algebra - 1837 - 302 pages
...diminished by the logarithm of the other factor ; or, in other words, The logarithm of the quotient is equal to the logarithm of the dividend, diminished by the logarithm of the divisor. 12. Corollary. We have, by arts. 11 and 7, log. - = log. 1 — log. n IV =. — log. n ; that is, the... | |
| Benjamin Peirce - Algebra - 1837 - 300 pages
...diminished by the logarithm of the other factor ; or, in other words, The logarithm of the quotient is equal to the logarithm of the dividend, diminished by the logarithm of the divisor. 12. Corollary. We have, by arts. 11 and 7, log. - = log. 1 — log. n TC .i = — log. n ; that is,... | |
| Bewick Bridge - Algebra - 1839 - 280 pages
...logarithm of — — x — x""=log. a* — log. at""= log. N — log. n ; from hence it appears that " the logarithm of the quotient of any two numbers is equal to the difference of their N logarithms ; and that the logarithm of a fraction — is equal to the logarithm... | |
| John D. Williams - Algebra - 1840 - 634 pages
...=а*-*.. .'. Log. — =x — x by the definition of lona*, ' n , J garithms, =log.N — log.ra. 124. Hence the logarithm of the quotient of any two numbers is equal to the difference of the logarithm of those numbers. If N be less than и, a; is less than x ; .•. therefore... | |
| George Roberts Perkins - Algebra - 1842 - 370 pages
...respective logarithms ; and (Art. 218) the logarithm of the quotient of one quantity divided by another is equal to the logarithm of the dividend diminished by the logarithm of the divisor, we find for the logarithm of our expression 3.75X1.06 log. - - =log. 3.75+log. 1.06-log. 365. By the... | |
| |