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" The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. "
Manual of mathematical tables, by J.A. Galbraith and S. Haughton - Página viii
por Joseph Allen Galbraith - 1860
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Popular scientific recreations, tr. and enlarged from 'Les récréations ...

Gaston Tissandier - 1882
...explanations are only wearying and unsatisfactory at best. The principle is, simply stated, the theorem that the logarithm of the product of two numbers is equal to the sum of their logs. The size of the dial will of course regulate the length of the calculation. The instrument...
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Logarithms

Henry Nathan Wheeler - 1882 - 43 páginas
...3 when the base is 10? Ans. 0.001. § 6. In any system the logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. Proof: If l = b", m = by, n = b', then is log6Z = x, Iog6m = 2/, logbn = z; now IX mxn = b* x Ъ»...
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Elementary text-book of trigonometry

Robert Hamilton Pinkerton - 1884 - 176 páginas
...calculated to 7 decimal places. 66. Properties of Logarithms. I. The logarithm of the product of two or 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...
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University Algebra: Embracing a Logical Development of the Science with ...

Charles Davies - 1889 - 320 páginas
...member, we have, a*+y — mrii Whence, from the definition, x + y = Log mn . . . . ( 5.) i That is, the logarithm of the product of two numbers is equal to the sum of the logarithms of the tiw numbers. If we divide ( 3 ) by ( 4 ), member by member, wo shall have, m a*-* — -• n Whence,...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1890 - 339 páginas
...henee its logarithm lies between 1 and 2, as does the logarithm of 74. 5. The logarithm of the produet of two numbers is equal to the sum of the logarithms of the numbers. The logarithm of a quotient is equal to the logarithm of the dividend diminished by that of the divisor....
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A Treatise on Elementary Trigonometry

John Bascombe Lock - 1892 - 306 páginas
...power 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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Trigonometry for Beginners

John Bascombe Lock - 1896 - 147 páginas
...8. i ,_ snn о logic 100 = 2. 120. 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 plus the logarithm of the other. For, let log, m = x ; then m = b',...
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Elements of Trigonometry: Plane and Spherical

Andrew Wheeler Phillips, Wendell Melville Strong - 1898 - 138 páginas
...of the number m is the number .r which satisfies the equation, ax = 1n. This is written x = loga m. The logarithm of the product of 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...
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Calendar

University of Sydney - 1904
...respectively equal to a, b and c, prove that — — -^=«. ao 10. Define a logarithm and prove that the logarithm of the product of two numbers is equal to the sum of their logarithms. Find the value of = • — . (3-721)"tf Given log 8-4=-9243, log 6'72='8274, log...
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