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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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Algebra for Schools and Colleges

William Freeland - Algebra - 1895 - 328 pages
...of its factors. 394. IV. Also if m* = a, and m? = b, m*-" = -. Hence, b log - = x — y ; that is, the logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. 395. V. Again, if. m* = a, m1" = af, and log ar = px = log axp...
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A Complete Algebra: For High Schools, Academies and Normal Schools

George Washington Hull - Algebra - 1895 - 360 pages
...6 = log (2x3) = log 2 + log 3. log 2 = 0.3010 Iog3 = 0.4771 log 6 = 0.7781, Ans. « EXAMPLES. 275. The logarithm of the quotient of two numbers is equal to the logarithm, of the dividend minus the logarithm of the divisor. Let m and n be any two numbers, and x and ,i/ their logarithms....
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Elements of Trigonometry: Plane and Spherical

Andrew Wheeler Phillips, Wendell Melville Strong - Trigonometry - 1898 - 376 pages
...two numbers is equal to the sum of the logarithms of the numbers. Thus loga;//я = logaw + logeя. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. Thus log»— — logam — logan. n The logarithm of the power...
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Plane Trigonometry for Colleges and Secondary Schools

Daniel Alexander Murray - Plane trigonometry - 1899 - 226 pages
...the product of any number of factors is equal to the sum of the logarithms of the factors. (2) Tlie logarithm of the quotient of two numbers is equal to the logarithm of the numerator diminished by the logarithm of the denominator. (4) The logarithm of the rth root of a number...
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The Elements of Plane Trigonometry

Pitt Durfee - Plane trigonometry - 1900 - 340 pages
...equations above by the second, m 10* m — = — = 10x-v, or log— = x — y = log m — logn. II. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the . divisor. Kaising m = 10J; to the /,'th power, ink = 10*'*, or log mk =...
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Academic Algebra

William James Milne - Algebra - 1901 - 444 pages
...numbers to a common base represent exponents of the same number, it follows that : 466. PRINCIPLE. — The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor; that is, To any base, log (m ч- n) = log m — log n. The above...
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Practical Exercises in Heat: Being a Laboratory Course for Schools of ...

Ernest Smith Awmack Robson - Heat - 1902 - 214 pages
...logarithm has a mantissa of .5150 ; .-. antilog of 1.5150 = 32.73 ; .'. 23. 12 X 1.416 = 32.73. (2) The logarithm of the quotient of two numbers is equal to the difference of the logarithms of the numerator and denominator or log a\b = log a - log b. Eg (i.) log...
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Advanced Algebra

Arthur Schultze - Algebra - 1905 - 694 pages
...log 3 + log 5. log (afee) = log a 4- log (be) = log a + log 6 + 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 logb m = x, and log, n = y, (1) then logb^ = xy. (2) This really means (§ 2) : If m = Ъ' and...
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The New International Encyclopaedia, Volume 12

Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1906 - 928 pages
...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...
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Plane Trigonometry

Daniel Alexander Murray - 1906 - 472 pages
...logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors. (2) The logarithm of the quotient of two numbers is equal to the logarithm of the numerator diminished by the logarithm of the denominator. (4) The logarithm of the rth root of a number...
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