 | George Peacock - 1830 - 732 páginas
...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 - 1837 - 302 páginas
...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 - 1837 - 300 páginas
...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,... | |
 | Andrew Bell (writer on mathematics.) - 1839 - 500 páginas
...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 - 1842 - 138 páginas
...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 - 1842 - 370 páginas
...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 - 1843 - 102 páginas
...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 - 1845 - 894 páginas
...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 - 1845 - 244 páginas
...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 - 542 páginas
...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. 
