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" With reference to any base, the logarithm of a number is the exponent of the power to which the base must be raised to produce the given number. "
The Franklin Elementary Algebra - Page 236
by Edwin Pliny Seaver, George Augustus Walton - 1881 - 297 pages
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Roper's Questions and Answers for Engineers

Stephen Roper - Steam engineering - 1880 - 84 pages
...itself is squared. ft. Define the terms logarithms and hyperbolic logarithms, and explain their use. A. 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. The use of logarithms...
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The student's algebra

James Mackean - 1881 - 510 pages
...a similar notation apply to y and x + y, then CHAPTER XIX. LOGARITHMS AND EXPONENTIAL THEOREM. 249. The logarithm of a number is the exponent of the power to which a second number, called the base, must be raised in order to produce the first. Thus, if N = a", then...
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A Practical Text-book on Plane and Spherical Trigonometry

Webster Wells - 1883 - 298 pages
...cosж.) 10. sina;= aina sin (x + b). VI. LOGARITHMS. 84. 7%e logarithm of a quantity to a given base is the exponent of the power to which the base must be raised to equal the quantity. Thus, if a•= m, x is the exponent of the power to which the base a must be raised...
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Algebra for Schools and Colleges

Simon Newcomb - Algebra - 1884 - 576 pages
...form the logarithm of a number, a constant number is assumed at pleasure and called the base. Def. The Logarithm of a number is the exponent of the power to which the base must Ъе raised to produce the number. The logarithm of x is written log x. Let us put a, the base ; x,...
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Annals of Mathematics

Electronic journals - 1902 - 232 pages
...of mathematics and physics meets logarithms for the first time at an early stage. He is told that " the logarithm of a number is the exponent of the power to which a certain number, taken as the base, must be raised in order to equal the given number." The definition...
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The Engineer's Handy-book: Containing a Full Explanation of the Steam-engine ...

Stephen Roper - Mechanical engineering - 1884 - 740 pages
...squared. hms. and Define the terms logarithms and hyperbolic logarithms, explain their use. Answer. — 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. The use of logarithms...
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College Algebra: For the Use of Academies, Colleges, and Scientific Schools ...

Edward Albert Bowser - Algebra - 1888 - 868 pages
...LOGARITHMS— EXPONENTIAL AND LOGARITHMIC SERIES— INTEREST AND ANNUITIES. LOGARITHMS. 202. Definitions. — The Logarithm of a number is the exponent of the power to which another number, called the base, must be raised to equal the given number. Thus, if a* = N, x is called...
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A College Algebra

George Albert Wentworth - Algebra - 1888 - 514 pages
...positive number be selected as a base ; let all other numbers be regarded as powers of this base. Then, the exponent of the power to which the base must be raised to obtain a given number is called the logarithm of that number to the given base. Any positive number...
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University Algebra: Embracing a Logical Development of the Science with ...

Charles Davies - Algebra - 1889 - 330 pages
...the Appendix, after the general demonstration of the Binomial Formula. CHAPTER XI. LOGARITHMS. 182. 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...
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Algebra for the Use of High Schools, Academies and Colleges

John Bernard Clarke - Algebra - 1889 - 566 pages
...the upper course being 13» and in each side of the lowest course 50. CHAPTEE XI. LOGARITHMS. 509. 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 given number. Thus, in the equation...
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