 | 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' or l?L = ly — ty... | |
 | 1852 - 316 páginas
...of the expansion of HJ (« + 4 )». SECT. IV.— 1. Define the logarithm of a number, and show that the logarithm of the quotient of two numbers is equal to the difference of their logarithms. 2. Shew that cos. (A — B) = cos. A cos. B + sin. A sin. B. 3. Shew that if a, b, c be the sides of... | |
 | 1852 - 512 páginas
...term of the expansion of (fl8 + ^)\ SECTION IV. — 1. Define the logarithm of a number, and show that the logarithm of the quotient of two numbers is equal to the difference of their logarithms. 2. Show that Cos (A — B) = Cos A Cos B + Sin A Sin B. 3. Show that if a, b, c be the sides of a plane... | |
 | Joseph Allen Galbraith - 1852 - 84 páginas
...former of these equations by the latter N__ therefore N log -=n-ra = logAT-log M. M PROPOSITION П. The logarithm of the quotient of two numbers is equal to the difference of the logarithms of the numbers. If we raise each side of the equation , N=1on to the power p, therefore... | |
 | Charles Davies - 1852 - 412 páginas
...Dividing equation (1) by equation (2), member by 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... | |
 | Adrien Marie Legendre - 1852 - 436 páginas
...equation (1) by equation (2), member by member, we 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... | |
 | Sir James Kay-Shuttleworth - 1853 - 522 páginas
...determine the middle term of the expansion of Section 4. 1. Define the logarithm of a number, and show that the logarithm of the quotient of two numbers is equal to the difference of their logarithms. 2. Show that Cos (A- 13) = Cos A Cos B + Sin A Sin B. 3. Show that if a, b, c be the sides of a plane... | |
 | Henry Law - 1853 - 84 páginas
...or, the sum of the logarithms of m and n is the logarithm of their product. PROPOSITION N. THEOREM. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend, with the logarithm of the divisor subtracted from it. Let X and / denote... | |
 | Charles Davies - 1854 - 446 páginas
...Dividing equation (1) by equation (2), member by 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... | |
 | Joseph Allen Galbraith - 1854 - 146 páginas
...multiplication, .2V x Ж = IOM*™; therefore, log .ZV x M = я + от = log .ЯГ+ log Ж PROPOSITION П. The logarithm of the quotient of two numbers is equal to the di/ennce of the logarithms of the numbers. By division, N F-»o—; therefore log — = я - m = log... | |
| |
The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. 
