 | 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
...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,... | |
 | 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... | |
 | 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 - 1843 - 308 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,...13 and 9, log. — = log. 1 — log. n = — log. n ; Logarithms in different Systems. 15. Corollary. Since zero is the reciprocal of infinity, we have... | |
 | Benjamin Peirce - Algebra - 1851 - 294 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,...13 and 9, log. — = log. 1 — log. n = — log. n ; Logarithms in different Systems. 15. Corollary. Since rero is the reciprocal of infinity, we have... | |
 | 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 - 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... | |
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We have, by arts. 13 and 9, log. — = log. 1 — log. n = — log. n ; that is, the logarithm of the reciprocal of a number is the negative of the logarithm of the number. 
