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" The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number. "
Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ... - Page 286
by Charles Davies - 1857 - 400 pages
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...these numbers ; this would be a table of logarithms. We define the logarithm of a number therefore, the exponent of the power, to which it is necessary to raise a given or invariable number, in order to produce the proposed number. Thus in the equation a* = y,...
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Elements of Algebra: Tr. from the French of M. Bourdon, for the ..., Volume 1

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 pages
...raise an'tnvariable number, to form all these numbers, an idea will be had cf a table of logarithms. The logarithm of a number, is the exponent of the power, to which it is necessary to raisj a certain invariable number, in order to produce the first number. The invariable number may...
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...raise an invariable number, to form all these numbers, an idea will be had of a table of logarithms. Hence, The logarithm of a number, is the exponent of the power to which it is necessary to raise a certain invariable number, in order to produce thefirst number. Any number, except 1, may be taken...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 338 pages
...shall give a tolerably full exposition of the THEORY OF LOGARITHMS. 43. The logarithm of any given number is the exponent of the power to which it is necessary to raise some particular number in order to produce the given number. Thus, let 10 be the number raised to the...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 328 pages
...from that of the dividend in order to obtain that of the quotient. i— i' - n ~~n' Since I — I1 is the exponent of the power to which it is necessary to raise a the base, in order to produce — it follows tn - —•-*• •.•*-:'•""" ft that I — I1...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...number by Jlf, a"=M Thus, if we make m=0, M will be equal to 1; if wi=l, M will be equal to 10, &.C. Hence, The logarithm of a number is the exponent of...the power to which it is necessary to raise the base of the system in order to produce the number. 1 76. Letting, as before, a denote the base of the system...
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Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...raise an invariable number, to form all these numbers, an idea will be had of a table of logarithms. Hence, The logarithm of a number, is the exponent of the power to which it is necessary to raise a certain invariable number, in order to produce thefirst number. Any number, except 1, may be taken...
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - Algebra - 1842 - 326 pages
...Tables of logarithms in common use, are constructed upon the number 10 as a base. Hence, The common logarithm of a number, is the exponent of the power to which 10 must be raised, in order to produce that number. Thus, 3 is the logarithm of 1000, because 103 =...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...logarithm of that number ; and the invariable number a is called the bose of that system of logarithms. Hence, The logarithm of a number, is the exponent of the power to which it is necessary to raise an invariable number, called the base of the system, in order to produce the number. The general properties...
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Elements of Algebra: Including Sturm's Theorem

Algebra - 1847 - 386 pages
...logarithm of that number; and the invariable number a is called the base of that system of logarithms. Hence, The logarithm of a number, is the exponent of the power to which if is necessary to raise an invariable number, called the base of tin xt/stem, in order to produce...
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