 | 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 - 300 pages
...of the number divided by the exponent of the root. 11. Corollary. The equation log. m m' = log. m + log. m', gives log. m' = log. mm' — log. m ; that...dividend, diminished by the logarithm of the divisor. 12. Corollary. We have, by arts. 11 and 7, log. - = log. 1 — log. n ¥1 = — log. n ; Logarithms... | |
 | 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 —... | |
 | 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... | |
 | Benjamin Peirce - Algebra - 1851 - 294 pages
...of the number divided by the exponent of the root. 13. Corollary. The equation log. mm, = log. m -f- log. m,, gives log. m' = log. mm' — log. m ; that...Logarithms in different Systems. 15. Corollary. Since rero is the reciprocal of infinity, we have in log. 0 = — log. oo = — oo ; that is, the logarithm... | |
 | 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 - 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... | |
 | 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... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...by member, we have, JO™ »BB_OTjW_Wesi0g— : 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... | |
 | Benjamin Peirce - Algebra - 1855 - 296 pages
...is, the logarithm of one factor of a product is equal to the logarithm of the product diminished hy the logarithm of the other factor ; or, in other words,...and 9, log. — = log. 1 — log. n — — log. n ; that is, the logarithm of Hie reciprocal of a number is the negative of the Lugui ithrn of the number.... | |
| |
The logarithm of the quotient is equal to the logarithm of the dividend, diminished by the logarithm of the divisor. 
