 The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log  New High School Algebra - Page 361by Webster Wells, Walter Wilson Hart - 1912 - 424 pagesFull view - About this book
 | 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... | |
 | 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 - 1913 - 300 pages
...Also, a*-t-all = MtN, or ^-» .-. Iog0 (M -r- N) = x — y. Therefore, log, ( Ms- N) = loga M - log„ Ж Rule. — In any system, the logarithm of the quotient...EXAMPLE 1. Given log 2 = .3010 and log 3=. 4771, find logf SOLUTION : 1. log | = log 3 - log 2 = .4771 - .3010 = .1761. EXAMPLE 2. Find log f . 2-2.2 SOLUTION... | |
 | Webster Wells - 1913 - 366 pages
...N, or a*-» = M '-ь N. .'. log, (Mt- N) = x — у. Therefore, loga (Mt- N) — log, M — log, N. Rule. — In any system, the logarithm of the quotient...EXAMPLE 1. Given log 2 = .3010 and log 3=. 4771, find logf. SOLUTION : 1. log $ = log 3 - log 2 = .4771 - .3010 = .1761. EXAMPLE 2. Find log |. 222 SOLUTION... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1913 - 360 pages
...y = log„ Ж Also, a* -s- a" = M -4- N, or a*->' = MtN. Therefore, loge (M -*- Ж) = log, Ж- log. Ж Rule. — In any system, the logarithm of the quotient...dividend minus the logarithm of the divisor. EXAMPLE!. Given log 2 = .3010 and log 3=. 4771, find log|. SOLUTION: 1. log f = log 8 — log 2 = .4771 - .3010=... | |
 | Robert Édouard Moritz - Trigonometry - 1913 - 562 pages
...cologio 3.1623. 3-1623 = log = log M + log = log M + colog N, Since — = M • — , we have NN that is, The logarithm of the quotient of two numbers is equal to the logarithm of the dividend plus the cologarithm of the divisor. EXERCISE 15 1. Given 53= 125, 52 = 25, 51 = 5; write down the... | |
 | Frederick Howland Somerville - Algebra - 1913 - 458 pages
...y = log n. (Art. 438) Substituting in (3), log inn = logm + log n. 454. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. Let 10* = m (1) and 10* = n. (2) Dividing (1) by (2), |£ = ~ That is, n Whence, log - = x - y. (8)... | |
 | George Wentworth - Plane trigonometry - 1914 - 348 pages
...log ЛВС = log -a + logB + log C, and so on for any number of factors. 41. Logarithm of a Quotient. The logarithm of the quotient of two numbers is equal...of the dividend minus the logarithm of the divisor. For if A = 10?, and В = 10», then — = 10*-», В and therefore log — = x — y В = log A —... | |
 | Claude Irwin Palmer, Charles Wilbur Leigh - Plane trigonometry - 1914 - 308 pages
...the colog N = log -^ = log 1 — log N. Ml Also log -^r = log M + log — = log M + colog N, that is: The logarithm of the quotient of two numbers is equal to the logarithm of the dividend plus the cologarithm of the divisor. The logarithm of the quotient of two numbers is equal to the logarithm... | |
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