| 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 - 288 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 - 288 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 - 502 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
...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 - 360 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
...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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