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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. "
A Treatise on Trigonometry, Plane and Spherical: With Its Application to ... - Page 33
by Charles William Hackley - 1851 - 372 pages
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Elements of Algebra

William Smyth - 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) - 1831 - 446 pages
...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

Bourdon (M., Louis Pierre Marie) - 1831 - 326 pages
...numbers; we shall then have an idea of a table of logarithms. We generally call the logarithm of a number the exponent of the power to which it is necessary to raise a certain invariable number, in order to produce the first number. The invariable number may at first...
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - 1835 - 378 pages
...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 - 1838 - 328 pages
...calculations, the table of logarithms ;* before explaining the use of which we shall give a tolerably full exposition of the THEORY OF LOGARITHMS. 43. The logarithm...the power ; then 2 is the logarithm of 100, because 102 = 100 and 3 is the logarithm of 1000, because 103 = 1000. Every given number will have a corresponding...
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Elements of Algebra

1838 - 372 pages
...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 thefrst 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 - 1838 - 338 pages
...which is to add them together, we have aw' = nri From this last expression, it appears that / -f- I' is the exponent of the power to which it is necessary to raise the base a, in order to produce the number nri. But nri is the product of n and n. Hence the logarithm...
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Elements of Algebra

Charles Davies - 1842 - 368 pages
...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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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1842 - 284 pages
...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...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - 1845 - 382 pages
...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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