 | 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
...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
...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... | |
 | Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...and x' = ly. And aх x aх = yy', or aх+х'=yy'; and hence x + x' = lyi/ or lytf = ly + ly'(502.) 1 The logarithm of the quotient of two numbers is equal to the difference of their logarithms.1 For ax -=- a* = - or e"' = -; and hence x — ж'= l ~, У У1 У'... | |
 | Henry W. Jeans - Trigonometry - 1842 - 138 pages
...in the 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... | |
 | William Chauvenet - Binomial theorem - 1843 - 102 pages
...them together ; the sum will be found in the table to be the logarithm of the required product. 61. The logarithm of the quotient of two numbers is equal to the difference of their logarithms. For b and c being any two numbers, we have a\og.b—l) alog.<;_cDividing... | |
 | Nathan Scholfield - Conic sections - 1845 - 244 pages
...logarithms of these factors. II. Divide equation (1) by (2), N_a* N' a* 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 power... | |
 | Nathan Scholfield - 1845 - 894 pages
...logarithms of these factors. II. Divide equation (1) by (2), N_o*_ N'~^ 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 power... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...N' c? N .•. def. (2), x— x1 is 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 power... | |
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The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor. 
