 | Royal Military College, Sandhurst - 1890 - 144 páginas
...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 - 1892 - 362 páginas
...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 - 1905 - 674 páginas
...(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 - 1906 - 584 páginas
...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 páginas
...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 - 1909 - 264 páginas
...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... | |
 | Arthur Graham Hall, Fred Goodrich Frink - 1909 - 272 páginas
...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... | |
 | Ernest Brown Skinner - 1913 - 264 páginas
...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 - 1913 - 562 páginas
...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 - 1914 - 332 páginas
...= 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)... | |
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The logarithm of the quotient is equal to the logarithm of the dividend, diminished by the logarithm of the divisor. 
