 | Levi Leonard Conant - Plane trigonometry - 1909 - 290 pages
...respectively. Then mn= 10* -10"= 10X+V. •'• log(wm) = x + y = log m + log n. 3. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. .'. log ~ — x — y — log m — log n. n 4. The logarithm of any power of a number is equal to... | |
 | Henry Lewis Rietz, Arthur Robert Crathorne - Algebra - 1909 - 292 pages
...Iogi0 5 + Iogi0 17. BASE NUMBER 04 LOGARITHM 2 10 125 3 i 2 A 3 i 32 -5 2. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. As above, let lognм = x and lognv = y, then, a* = u, ay = v, and - = a1"'. v Hence, logn- = iB —... | |
 | Arthur Graham Hall, Fred Goodrich Frink - Logarithms - 1909 - 264 pages
...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 may write as before, n = a1, m = ay.... | |
 | Arthur Graham Hall, Fred Goodrich Frink - Plane trigonometry - 1909 - 272 pages
...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 write as before, n = a?, m = av.... | |
 | Levi Leonard Conant - Trigonometry - 1909 - 320 pages
...logarithms respectively. Then .'. log(ran) = x + y = log m + log n. 3. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. PROOF. n .-.tog 2n = log m — log n. 4. The logarithm of any power of a number is equal to the logarithm... | |
 | Stimson Joseph Brown, Paul Capron - Algebra - 1910 - 212 pages
...orlog6»=y. We have m« =&*.&!' = &«"*, whence, by definition, Iog6 ( ran) = logs m + Iog6 n. IV. The logarithm of the quotient of two numbers is equal...of the dividend minus the logarithm of the divisor. Using the same quantities as in III, we have ^ = b* = b*-y nb* or ' m\ . — 1 = log6 m— logs n.... | |
 | Herbert E. Cobb - Mathematics - 1911 - 296 pages
...II. log | = log 3 - log 2. 3 H- 2 = 10°-477i -f- IQO-WIO = 10"-"" = 1.5. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. III. Iog2 8 = 31og2. 2 s = (10°- 8010 ) 8 = l0 °-9080 = 8. The logarithm of a power of a number is... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1912 - 504 pages
....-. log, (M-^- N) = x — y. Therefore, loga (M -=- N) = log,, M — loga Ж Rule. — In any system, the logarithm of the quotient of two numbers is equal...of the dividend minus the logarithm of the divisor. EXAMPLE 1. Given log 2 = .3010 and log 3 = . 4771, find log|. SOLUTION: 1. log f = log 3 — log 2... | |
 | Webster Wells - 1913 - 366 pages
....'. log, (Mt- N) = x — у. Therefore, loga (Mt- N) — log, M — log, N. Rule. — In any system, the logarithm of the quotient of two numbers is equal...of the dividend minus the logarithm of the divisor. EXAMPLE 1. Given log 2 = .3010 and log 3=. 4771, find logf. SOLUTION : 1. log $ = log 3 - log 2 = .4771... | |
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The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log 
