| Arthur Schultze - Algebra - 1906 - 562 pages
...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
...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... | |
| William James Milne - Algebra - 1908 - 474 pages
...numbers to a common base represent exponents of the same number, it follows that: 576. PKIXCIPLK. — **The logarithm of the quotient of two numbers is equal to the logarithm of the dividend** minn» the logarithm of the divisor ; that is, To any base, log (?» -=-«) = log m — log n. For,... | |
| 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 to the logarithm of the dividend** minus the logarithm of the divisor. Using the same quantities as in III, we have ^ = b* = b*-y nb*... | |
| 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 to the logarithm of the dividend** minus the logarithm of the divisor. EXAMPLE 1. Given log 2 = .3010 and log 3 = . 4771, find log|. SOLUTION:... | |
| Webster Wells, Walter Wilson Hart - Algebra - 1913 - 360 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 to the logarithm of the dividend** minus the logarithm of the divisor. EXAMPLE 1. Given log 2 = .3010 and log 3=. 4771, find logf. SOLUTION... | |
| Robert Édouard Moritz - Trigonometry - 1913 - 560 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... | |
| Ernest Brown Skinner - Annuities - 1913 - 264 pages
...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... | |
| George Wentworth - Plane trigonometry - 1914 - 338 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 to the logarithm of the dividend** minus the logarithm of the divisor. For if A = 10?, and В = 10», then — = 10*-», В and therefore... | |
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