 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...are the roots of the equation ax* + (a + b}x + b = o, . /3 a . b 10. Prove that the logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor. Given loge 2 = '69314718, log,. 3 = 1-09861229 ; find the logarithm to the base e of • (D 4-J (2)... | |
 | Nathan Fellowes Dupuis - Algebra - 1892 - 362 pages
...a-- = a*-'. or bg/~ ) = Iog06 — logac. \e/ That is, the logarithm of the quotient of two numbers is the logarithm of the dividend diminished by the logarithm of the divisor. (3) (aI)" = &"=a'™. .-. log„(&n) = nx = nloga&. That is, the logarithm of the nth power of a number... | |
 | Arthur Schultze - Algebra - 1905 - 674 pages
...(3x5) = log 3 + log 5. log (afee) = log a 4- log (be) = log a + log 6 + log c. 7. The logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor. Ie if logb m = x, and log, n = y, (1) then logb^ = xy. (2) This really means (§ 2) : If m = Ъ' and... | |
 | Arthur Schultze - Algebra - 1906 - 584 pages
...log (3x5)= log 8 + log 5. log (abc) = log a + log (6c) = log a + log b + log c. 7. The logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor. Ie if logt m = x, and logb n = y, (1) then loSb- = ж-y. (2) This really means (§ 2) : If m = bx and... | |
 | Trinity College (Dublin, Ireland) - 1907 - 536 pages
...relation which connects the cosines of the angles of a plane triangle. 6. Prove that the logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor. 7. Express the sine, cosine, and tangent of half an angle of a triangle in terms of the sides. 8. If... | |
 | Arthur Graham Hall, Fred Goodrich Frink - Plane trigonometry - 1909 - 272 pages
...x + y**logan + log„m. (1) This law may evidently be extended to any finite number of factors. II. The logarithm of the quotient is equal to the logarithm of the dividend minus the logarithm of the divisor, all to the same base. For, if x = logaw and y = loga »и, we may... | |
 | Arthur Graham Hall, Fred Goodrich Frink - Logarithms - 1909 - 264 pages
...y = log„ n + loga m. (1) This law may evidently be extended to any finite number of factors. II. The logarithm of the quotient is equal to the logarithm of the dividend minus the logarithm of the divisor, all to the same base. For, if x = loge n and y = loga то, we... | |
 | Ernest Brown Skinner - Annuities - 1913 - 264 pages
...or al = x; whence x" = anl and, consequently, loga£" = nl = n logaa;. COROLLARY. The logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor. 3C For the quotient - may be written xy-1. We have then y loga- = log^-1 = logaz + log,,?/-1 = logaz... | |
 | Robert Édouard Moritz - Trigonometry - 1913 - 562 pages
...corresponding to a second set aA, o*, a', am, a", etc., hence, The logarithm of the quotient of two numbers is equal to the logarithm of the dividend diminished by the logarithm of the divisor, or, UQ = M + N, log Q = log M -log N. Thus log S = log 5 - log 3. (c) (a-)" = a™, x is the logarithm... | |
 | Henry Charles Wolff - Mathematics - 1914 - 332 pages
...= v. By division _ u v ' or or loga ^— J = loga u - logo v. Thus the theroem: The logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor. Exercises Using the logarithms given in preceding Exercise, find the logarithms of the following: (a)... | |
| |
The logarithm of the quotient is equal to the logarithm of the dividend, diminished by the logarithm of the divisor. 
