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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, to produce the given number. The fixed number is called the base of the system.
University Algebra: Embracing a Logical Development of the Science, with ... - Page 255
by Charles Davies - 1870

## Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...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...

## Elements of Algebra: Including Sturm's Theorem

Algebra - 1847 - 386 pages
...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...

## Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1850 - 292 pages
...by M, am=Jlf Thus, if we make m=0, M will be equal to 1; if w=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 TO. Letting, as before, a denote the base...

## Elementary Algebra: For the Use of Schools

William Smyth - Algebra - 1851 - 272 pages
...determined for all possible values of N. In this equation, x is the logarithm of N. And in general, the logarithm of a number is the exponent of the power to which it is necessary to raise an invariable number talcen as a base, in order to produce the number. Supposing a table of logarithms...

## A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - Trigonometry - 1851 - 524 pages
...which we shall give some 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...

## A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - Trigonometry - 1851 - 536 pages
...which is to add them together, we have 6"'' = nn' From this last expression, it appears that l-\-l' is the exponent of the power to which it is necessary to raise the base a, in order to produce the number nn'. But nri is the product of n and n'. Hence the logarithm...

## Elements of Surveying and Navigation: With Descriptions of the Instruments ...

Charles Davies - Navigation - 1852 - 412 pages
...Meridional Parts on Gunter's Scale, 222 ELEMENTS 0F SUEYEYIIG. BOOK I. SECTION I. OF LOGARITHMS. 1. 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. This fixed number is called the base of the system, and may be...

## Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...hypothenuse and radius of the inscribed circle. PLANE TRIGONOMETRY. INTKODUCTION. OF LOG.AEITHMS. 1. The logarithm of a number is the exponent of the power to which it is necessary to raise a faced number, in order to produce the first number. This fixed number is called the lase of the system,...