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Bøker Bok 4150 av 53Ios- y" &cFrom which it is evident, that the logarithm of the product of any number...
" Ios- y" &cFrom which it is evident, that the logarithm of the product of any number of factors is equal to the sum of the logarithms of those factors. Hence... "
An Introduction to Algebra: With Notes and Observations : Designed for the ... - Side 187
av John Bonnycastle - 1818 - 260 sider
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Elementary Arithmetic: With Brief Notices of Its History, Volumer 1-12

Robert Potts - 1876
...way it may be shewn that the logj«, . «, . «s . : . . } =log„«i + logA + log„Ms + . . . . Or that the logarithm of the product of any number of factors, is equal to the sum of the logarithms of the several factors. 3. PROP. To find the logarithm of the quotient of two numbers. Here «! = alos«1ti,...
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An Elementary Treatise on Logarithms: With Tables of the Logarithms of ...

Webster Wells - 1878 - 96 sider
...of zero is minus infinity. For, since er"0 = — = — = 0, — oo = loga 0. rf" 12* In any system, the logarithm of the product of any number of factors,...equal to the sum of the logarithms of those factors. Assume the equations, a* — m \ т, i, < . i } ж — loga m „ t whence, by Art. 1,1 , a" = n )...
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University Algebra

Webster Wells - 1879 - 444 sider
...— 00 = loga 0. a oo If the base is less than unity, the logarithm of 0 is + op . 455. In any system the logarithm of the product of any number of factors...equal to the sum of the logarithms of those factors. Assume the equations, a" — m) > •• / , .: > > (x = 1огa m \ whence, by Art. 444, >. , 8" an...
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The Elements of Plane and Spherical Trigonometry: With the Construction and ...

John Charles Snowball - 1880
...connecting the logarithms of a number in the two systems whose bases are a and e, is ^ — . L» 4. The logarithm of the product of any number of factors is equal to the sum of the logarithms of the several factors. For m.».r...=aUm.a1'"t.a1»í-...=íl(1»mH""+Ur+-) But m.».r...=a1"("wr-);...
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A Practical Text-book on Plane and Spherical Trigonometry

Webster Wells - 1883
...less than unity, the logarithm of 0 is +00. For since, when a<l, o"= 0, oo =loga0. 95. In any system the logarithm of the product of any number of factors...equal to the sum of the logarithms of those factors. Assume the equations whence, by Art. 84, Multiplying, a" X a* X a• X •-• = mnp • •• That...
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Plane Trigonometry for Colleges and Secondary Schools

Daniel Alexander Murray - 1899
...the properties, or are the laws of logarithms. They may be expressed in words as follows : (1) Tlie logarithm of 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...
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Elements of Algebra

James Morford Taylor - 1900 - 461 sider
...power of any base is equal to the mnth power of that base. That is, (am)" = amn. Ill TJie nth power of the product of any number of factors is equal to the product of the nth powers of the factors. The nth power of the quotient of one number by another is...
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An Algebra for High Schools and Academies

Louis Parker Jocelyn - 1902 - 445 sider
...the numerator of a fractional exponent indicates a power, and the denominator a root. 2. The wth root of the product of any number of factors is equal to the product of the wth roots of those factors ; that is, N/a'V/V' ••• = лУа" • \/¿" • л/с"...
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Plane Trigonometry

1906
...state the properties, or are the laws of logarithms. They may be expressed in words as follows : (1) The 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...
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Smoley's Tables: Parallel Tables of Logarithms and Squares, Angles and ...

Constantine Kenneth Smoley - 1906 - 332 sider
...use of the Log・ tables is based upon the fol1owing four properties of 1ogarithms: (1) The Log・ of the product of any number of factors is equal to the sum of the Logs, of these factors・ Accordingly, multipli cation can be effected by adding the Logs, of the given...
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