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The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... - Page 256
by Charles Davies - 1854 - 432 pages

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...

The Dublin University Calendar, Volume 1

...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...

Standard Algebra

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,...

The New International Encyclopæeia, Volume 12

...calculation : ( 1 ) The logarithm of a product is equal to the sum of the logarithms of its factors. (2) The logarithm of the quotient of two numbers is equal to the logarithm of the dividend less the logarithm of the divisor. (3) The logarithm of a number affected by an exponent is equal to...

Practical Algebra (revised) Prepared for the Use of the Midshipmen at the ...

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*...

New High School Algebra

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:...

Second Course in Algebra

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...

Plane and Sperical Trigonometry (with Five-place Tables): A Text-book for ...

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...

The Mathematical Theory of Investment

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...

Plane Trigonometry and Tables

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...