| Arthur Schultze - Algebra - 1906 - 584 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 - 536 pages
...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 - 480 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 - 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 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 - 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... | |
| 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 - 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 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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