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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
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New Practical Algebra: Adapted to the Improved Methods of Instruction in ...

James Bates Thomson - Algebra - 1878 - 324 pages
...numbers, m and n their logarithms, and b the base. Then 6> = a And 6" = c Multiplying, &+" = ae. 2. The logarithm of the dividend diminished by the logarithm of the divisor is equal to the logarithm of the quotient of the two numbers. Let a and c denote any two numbers, m...
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The Collegiate Algebra: Adapted to Colleges and Universities

James Bates Thomson, Elihu Thayer Quimby - Algebra - 1880 - 360 pages
...numbers, m and n their logarithms, and b the base. Then frm = a And 6" = e Multiplying, 6™+" = ae. 2. The logarithm of the dividend diminished by the logarithm of the divisor is equal to the logarithm of the quotient. Let a and с denote any two numbers, m and n their logarithms,...
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The Cambridge Examiner, Volume 3

Education, Higher - 1883
...the sum of two angles whose sines and cosines are given. 3. Prove that the logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor. 4. Find log '005957964, having given log 59579 = 4-7750933, log 59580 = 4"7751005. 5. Prove that in...
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Elementary algebra. To which is now added an appendix

James Hamblin Smith - 1883 - 444 pages
...treating of logarithms to the particular base 10, we may omit the suffix. 456. The logarithm of a quotient is equal to the, logarithm of the dividend diminished by the logarithm of the divisor. Let m=a', and n=a'. Then "ao"~'5 = log.m — log.n. Thus the operation of Division is changed into...
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Military examinations. Mathematical examination papers set at an open ...

Civil service commission - 1883
... aba / JS Sol. a + fl = • ' " 48 or + = + . QED 10. — Prove that the logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor. Given log. 2 = -69314718, log. 3 = 1-09861229 ; fiad the logarithms to base e of 8 /0\3e> /04 Д /9"...
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Mathematical tables for trigonometrical, astronomical, and nautical ...

Henry Law - 1884 - 582 pages
...or, the sum of the logarithms of m and n is the logarithm of their product. PROPOSITION N. THEOREM. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend, with the logarithm of the divisor subtracted from it. Let X and I denote the same as in the foregoing...
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Elementary text-book of trigonometry

Robert Hamilton Pinkerton - Trigonometry - 1884 - 176 pages
...more numbers is equal to the sum of the logarithms of the numbers. II. The logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor; or (what is the same thing differently expressed) the logarithm of a fraction is equal to the logarithm...
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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 144 pages
...roots of the equation ax* + (a + b}x + b = o, . /3 a . b 10. Prove that the logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor. Given loge 2 = '69314718, log,. 3 = 1-09861229 ; find the logarithm to the base e of • (D 4-J (2)...
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Elementary Algebra

Walter William Rouse Ball - Algebra - 1890 - 512 pages
...z + ... - loga m + loga n + \ogap + ... . 256. Logarithm of a Quotient. The logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor. Let m be the dividend, and let n be the divisor, and let n = a", .'. y = logan. m _ a* __ ry n a" =...
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The Principles of Elementary Algebra

Nathan Fellowes Dupuis - Algebra - 1892 - 362 pages
...a-- = a*-'. or bg/~ ) = Iog06 — logac. \e/ That is, the logarithm of the quotient of two numbers is the logarithm of the dividend diminished by the logarithm of the divisor. (3) (aI)" = &"=a'™. .-. log„(&n) = nx = nloga&. That is, the logarithm of the nth power of a number...
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