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" In a system of logarithms all numbers are considered as the powers of some one number, arbitrarily chosen, which is called the base of the system, and the exponent of that power of the base which is equal to any given number, is called the logarithm of... "
Higher Geometry and Trigonometry: Being the Third Part of a Series on ... - Page 78
by Nathan Scholfield - 1845 - 232 pages
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An Analytical Treatise on Plane and Spherical Trigonometry, and the Analysis ...

Dionysius Lardner - Plane trigonometry - 1828 - 438 pages
...numbers whatever are considered as powers of some number arbitrarily assumed, which is called a base, and the exponent of that power of the base, which is equal to any proposed number, is called the logariflvm of that number. Thus, if we consider all numbers as powers...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845
...logarithm of 4, in the above series is 2; and if this number be multiplied by 3, the product will be— 6, which is the logarithm of 64, or the third power of...system of logarithms, N any number, and x such that N = a* then x is called the logarithm of N in the system whose base is a. The base of the common system...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 896 pages
...most convenient for practice, are such as are adapted to a series increasing in a tenfold ratio, as ia the last of the above forms, and are those which are...system of logarithms, N any number, and x such that N = a* then x is called the logarithm of N in the system whose base is a. The base of the common system...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...system of logarithms, all numbers are considered as the powers of some one number, arbitrarily assumed, which is called the base of the system ; and the exponent...equal to any given number is called the logarithm ofthat number. Thus, if a be the base of a system of logarithms, and a? = N, then 2 is the logarithm...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 346 pages
...system of logarithms, all numbers are considered as the powers of some one number, arbitrarily assumed, which is called the base of the system ; and the exponent...equal to any given number is called the logarithm ofvhat number. Thus, if a be the base of a system of logarithms, and a2 = N, then 2 is the logarithm...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 542 pages
...system of logaritlims, alt numbers are considered as the powers of some one number, arbitrarily assumed, which is called the BASE of the system, and the exponent...base which is equal to any given number is called tiic LOGARITHM of that number. Thus, if a be the base of a system of logarithms, N any number, and...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 544 pages
...numbers are considered as the powers of some one number, arbitrarily assumed, which is called the BASE oj the system, and the exponent of that power of the...equal to any given number is called the LOGARITHM oftiiat number. Thus, if a be the base of a system of logarithms, N any number, and x such that N=a',...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1847 - 503 pages
...system of logaritlims, all numbers are considered as the powers of some one number, arbitrarily assumed, which is called the BASE of the system, and the exponent...equal to any given number is called the LOGARITHM of tit at number. Thus, if a be the base of a system of logarithms, N any number, and x such that N=V...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1849 - 504 pages
...numbers are considered as At powers of some one number, arbitrarily assumed, which is called the BASED/ the system, and the exponent of that power of the...called the LOGARITHM of that number. Thus, if a be tho base of a system of logarithms, N any number, and i such that N=a', then x is called the logarithm...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 410 pages
...logarithms, all numbers are con- .' '", sidered as the powers of some one number, arbitrarily assumed, which is called the base of the system ; and the exponent of that power of the lose, which is equal to any given number, is catted the LOGARITHM of that number. Thus, if a is the...
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