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" The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. log» MN = log» M + log "
The Field Engineer: A Handy Book of Practice in the Survey, Location, and ... - Página 2
por William Findlay Shunk - 1908 - 345 páginas
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Logarithmic and Other Mathematical Tables

William Joseph Hussey - 1891 - 144 páginas
...use are as follows: The logarithm of a product is equal to the sum of the logarithms of its factors: The logarithm of a quotient is equal to the logarithm of the dividend. minus the logarithm of the divisor. The logarithm of any power of a number is equal to the logarithm...
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Elementary Trigonometry

John Maximilian Dyer - 1891 - 266 páginas
...log. n + log. p. In the same way the theorem can be extended to any number of factors. 106. Theorem 2. The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. щ Let — be the quotient, a the base ; we have...
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A Treatise on Plane and Spherical Trigonometry: And Its Applications to ...

Edward Albert Bowser - 1892 - 368 páginas
...+ logan + \ogap, and so on for any number of factors. Thus, log 60 = log (3 x 4 x 5), •log5. (5) The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. For let a; = logam, and y = \ogan. .: m = a*, and n = a*. — =...
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A Treatise on Elementary Trigonometry

John Bascombe Lock - 1892 - 306 páginas
...of 2 which is equal to 32? The use of Logarithms is based upon the following propositions : — I, The logarithm of the product of two numbers is equal to the logarithm of one of the numbers + the logarithm of the other. For, let log. m=x and log,,ra=y, then,...
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Algebra for Schools and Colleges

William Freeland - 1895 - 309 páginas
...is > 1. 393. III. Again, if m" = a, and m' = b, we have m*+' = ab. I fence logab = x + y; that is, the logarithm of the product of two numbers is equal to the sum of the logarithms of its factors. 394. IV. Also if m* = a, and m? = b, m*-" = -. Hence, b log - = x — y ; that is, the...
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Logarithmic and Trigonometric Tables

Edward Albert Bowser - 1895 - 87 páginas
...use are as follows : The logarithm of a product is equal to the sum of the logarithms of its factors. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. The logarithm of any power of a number is equal to the logarithm...
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Logarithmic and Trigonometric Tables

Edward Albert Bowser - 1908 - 87 páginas
...use are as follows : The logarithm of a product is equal to the sum of the logarithms of its factors. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. The logarithm of any power of a number is equal to the logarithm...
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Plane Geometry

George D. Pettee - 1896 - 253 páginas
...logarithms: 11. The logarithm of a product is equal to the sum of the logarithms of all its factors. 12. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. 13. The logarithm of the power of a quantity is equal to the logarithm...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 161 páginas
...as follows : I. The logarithm of a product is equal to the sum of the logarithms of its factors. II. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. III. The logarithm of any power of a number is equal to the logarithm...
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Numerical Problems in Plane Geometry with Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 144 páginas
...as follows : I. The logarithm of a product is equal to the sum of the logarithms of its factors. II. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. III. The logarithm of any power of a number is equal to the logarithm...
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