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" The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors. "
Higher Arithmetic: Designed for the Use of High Schools, Academies, and ... - Σελίδα 326
των George Roberts Perkins - 1849 - 342 σελίδες
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A Practical Text-book on Plane and Spherical Trigonometry

Webster Wells - 1883 - 298 σελίδες
...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 is equal to the sum of the logarithms of those factors. Assume the equations whence, by Art. 84, Multiplying, a" X...

Plane Trigonometry for Colleges and Secondary Schools

Daniel Alexander Murray - 1899 - 226 σελίδες
...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...

Elements of Algebra

James Morford Taylor - 1900 - 504 σελίδες
...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 equal to the...

An Algebra for High Schools and Academies

Louis Parker Jocelyn - 1902 - 460 σελίδες
...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" •••...

Plane Trigonometry

Daniel Alexander Murray - 1906 - 466 σελίδες
...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...

Smoley's Tables: Parallel Tables of Logarithms and Squares, Angles and ...

Constantine Kenneth Smoley - 1906 - 366 σελίδες
...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,...

Plane [and Spherical] Trigonometry for Colleges and Secondary Schools

Daniel Alexander Murray - 1908 - 358 σελίδες
...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) Tlie logarithm of the quotient oftwo numbers is equal to...

Appleton's New Practical Cyclopedia: A New Work of Reference Based ..., Τόμος 4

Marcus Benjamin, Arthur Elmore Bostwick, Gerald Van Casteel, George Jotham Hagar - 1910 - 538 σελίδες
...Computations by means of logarithms are made in accordance with the following principles: (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 a quotient is equal to the logarithm of...

Railway Electrical Engineers' Handbook: Electric Light and Illumination

C. W. Bender - 1912 - 358 σελίδες
...be subtracted from the whole logarithm. Thus log .00458 = 3.6609 = 7.6609 — 10 (1) The logarithm of the product of any number of factors Is equal to the sum of the logarithms of the individual factors. log MN = log M + log N (2) The logarithm of the quotient...




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