 The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log  Plane Trigonometry - Page 177by Levi Leonard Conant - 1909 - 183 pagesFull view - About this book
 | Pitt Durfee - Plane trigonometry - 1900 - 340 pages
...— = 10x-v, or log— = x — y = log m — logn. II. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the . divisor. Kaising m = 10J; to the /,'th power, ink = 10*'*, or log mk = kx = k log m. III. The logarithm of any... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 646 pages
...of 2048 to the base 2 ? Since 2048 = 32-64, we have log, 2048 = log, 32 + log, 64 = 5 + 6 = 11. 16. The logarithm of a quotient is equal to the logarithm...of the dividend minus the logarithm of the divisor; or, log» (m -i- n) = logt 14 — logu "• Let log» m = x and log» я = jr ; then b* = m and 6»... | |
 | George Egbert Fisher - 1901 - 320 pages
...logarithm of 2048 to the base 2 ? Since 2048 = 32-64, we have log¡ 2048 = log232 + log2 64 = 5 + 6 = 11 7. The logarithm of a quotient is equal to the logarithm...of the dividend minus the logarithm of the divisor; or, Iog6 (m -s- я) = log,, m - log,, я. Let log5 m = x and logb n = y; then b* = m and &* = n, and... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 664 pages
...to the base 2 ? Since 2048 = 32 • 64, we have Iog2 2048 = Iog2 32 + Iog2 64 = 5 + 6 = 11. 16. TJie logarithm of a quotient is equal to the logarithm of the dividend minus the loyarithm of the divisor; or, log;, (/» -î- ") = logft m — logt, n. Let Iog6 m = x and Iog6 n =... | |
 | William James Milne - Algebra - 1901 - 476 pages
...the same number, it follows that : 466. PRINCIPLE. — The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor; that is, To any base, log (m ч- n) = log m — log n. The above principle may be established as follows:... | |
 | Louis Parker Jocelyn - Algebra - 1902 - 460 pages
...and n = a" ; 3. and mn = ax • ay = az+v. 4. .-. loga mn = x + y = loga m + loga n. 468. Prop. 4. The logarithm of a quotient is equal to the logarithm...of the dividend minus the logarithm of the divisor. 977 Dem. Let -- be the given quotient, m being the dividend 7Î- * » 1. For let x = log„rw and y... | |
 | James Morford Taylor - History - 1904 - 192 pages
...loga(Jf x N) = x + y = IogaЛf+ logaJV. (ii) The logarithm of the quotient of two arithmetic numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. Let Ж = a*, N=w1. Then M+N = a*-v. Hence loga(M- N) = x — y = logaM — \ogaN. (iii) The logarithm... | |
 | James Morford Taylor - Trigonometry - 1905 - 256 pages
...loga(Af x N) = x + y = logaJtf + logaN. (ii) The logarithm of the quotient of two arithmetic numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. Let If = a«, N =a)i. Then Ж ч. N = a*- ». Hence loga (AT •*• N) = x — y = log«, Af - loga.2v".... | |
 | Arthur Schultze - Algebra - 1905 - 674 pages
...Kg. log 15 = log (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.... | |
 | Arthur Schultze - Algebra - 1906 - 584 pages
...bases, we Eg log 15 = 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.... | |
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