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" The logarithm of a number, is, 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... "
A Treatise on Algebra ... - Page 239
by William Smyth - 1861
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...to produce 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...the proposed number. Thus in the equation a* = y, xk the logarithm of y ; in like manner in the equation 26 = 64, 6 is the logarithm of 64. The logarithm...
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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
...Quantities and Logarithms. 209. Resolution of the equation ax=b. The object of the question is, to find the exponent of the power to which it is necessary to raise a given number a, in order to produce another given number b. We will first consider some particular cases....
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 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

William Smyth - Algebra - 1833 - 288 pages
...numbers; this would be a .table of logarithms. The logarithm of a number is therefore, the exponent of thi power, to which it is necessary to raise a given or...produce the proposed number. Thus in the equation ar = y, x is the logarithm of y; in like manner in the equation 26 = 64, 6 is the logarithm of 64....
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...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 Algebra

William Smyth - Algebra - 1836 - 288 pages
...it is necessary to raise a constant number in order to produce these numbers ; this would be a /able of logarithms. The logarithm of a number is therefore,...produce the proposed number. Thus in the equation o*.= y, x is the logarithm of y ; in like manner in the equation 26 = 64, 6 is the logarithm of 64....
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Elements of Algebra

Algebra - 1838 - 372 pages
...Exponential Quantities. Resolution of the Equation a'—b. 255. The object of this question is, to find the exponent of the power to which it is necessary to raise a given number a, in order to produce another given number 6. Suppose it is required to resolve the equation...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 338 pages
...that of the dividend in order to obtain that of the quotient. , ,, n a1—'1 = — n Since I — I' is the exponent of the power to which it is necessary to raise a the base, in order to produce ~ it follows that I — f is the logarithm of ^ ie the logarithms of...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 328 pages
...multiplication, which is to add them together, we have Prom this last expression, it appears that I + 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 - Algebra - 1842 - 368 pages
...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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