 | 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... | |
 | Benjamin Peirce - Algebra - 1837 - 302 pages
...product 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
...product 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,... | |
 | John Charles Snowball - 1837 - 322 pages
...is the sum of the logarithms of the several factors, we obtain the product of those factors. 5. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. For a " =-=V n a1a?1 .-. la (— I => laťи- \аП. \П I r log... | |
 | John Hymers - Logarithms - 1841 - 244 pages
...generally, that the logarithm of a product is equal to the sum of the logarithms of its factors. 8. The logarithm of a quotient is equal to the logarithm of the dividend diminished by that of the divisor. ч 102 Since m - o*, n — а", та* .-.-=— = а-', n а? •'• 1оёа (г... | |
 | 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... | |
 | Henry W. Jeans - Trigonometry - 1842 - 138 pages
...product : thus if x=ab then log. A =log. a + log. b. (b) The logarithm of the quotient of any two numbers is equal to the logarithm of the dividend diminished by the logarithm of the divisor : thus if x = 7 then log. x = log. a — log. b. If x = — then log. x=log. a+log. b 00 + log. c —... | |
 | Charles Davies - Navigation - 1852 - 412 pages
...member, we have, MM 10m n = i^or, m — n = logjr: hence, The logarithm of the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor. 5. Since the logarithm of 10 is 1, the logarithm of the product of any number by 10, will be greater... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...have, mn MM 10 -=_r~0r, ra — tt = log-r^: hence, The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor. 5. Since the logarithm of 10 is 1, the logarithm of the product of any .number by 10, will , be greater... | |
 | Charles Davies - Navigation - 1854 - 446 pages
...member, we have, 10m~n = -^or, m — n~logj^: hence, The logarithm of the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor. 5. Since the logarithm of 10 is 1, the logarithm of the product of any number by 10, will be greater... | |
| |
The logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor. 
