 | James Bates Thomson - Algebra - 1878 - 322 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... | |
 | 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,... | |
 | Education, Higher - 1883 - 536 pages
...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... | |
 | James Hamblin Smith - 1883 - 466 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... | |
 | Civil service commission - 1883 - 62 pages
...ß 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"... | |
 | Henry Law - 1884 - 568 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... | |
 | Robert Hamilton Pinkerton - Trigonometry - 1884 - 194 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... | |
 | Royal Military College, Sandhurst - Mathematics - 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)... | |
 | Walter William Rouse Ball - Mathematics - 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" =... | |
 | 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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The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor. 
