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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. "
Mathematical Dictionary and Cyclopedia of Mathematical Science Comprising ... - Page 337
by Charles Davies, William Guy Peck - 1859 - 592 pages
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Elements of Surveying and Leveling

Charles Davies - Surveying - 1883 - 614 pages
...BOOK I. INTRODUCTORY PRINCIPLES AND DEFINITIONS. SECTION I. LOGARITH MS. 1. The logarithm of a given 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. In the common system,...
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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 is to abridge numerical computations. The...
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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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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...TRIGONOMETRY AND MENSURATION. INTRODUCTION TO TRIGONOMETRY. LOGARITHMS. 1. The LOGARITHM of a given number is the exponent of the power to which it is necessary to raise a fixed numbe: to produce the given number. The fixed number is called THE BA8E OF THE SY8TEM. Any positive...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 352 pages
...bodies which have been described. ELEMENTS OF TRIGONOMETRY. INTRODUCTION. SECTION I. OF LOGABITHKR. 1. The logarithm of a number is the exponent of the power to which it is necessary to raise a filed number, in order to produce the first number. This fixed number is called the base of the system,...
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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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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 a x =N, a being a fixed number, and N any...
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A Dictionary of Electrical Words, Terms and Phrases

Edwin James Houston - Electrical engineering - 1889 - 684 pages
...record of its actual speed at any time during the entire run. Logarithms. — The logarithm of any given number, is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the given number. A table of logarithms enables the operations of multiplication,...
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University Algebra: Embracing a Logical Development of the Science with ...

Charles Davies - Algebra - 1889 - 330 pages
...system. 183. If we denote any positive number, except 1, by a ; any positive number whatever by n, and the exponent of the power to which it is necessary to raise a, in order to produce n, by a:, we shall have the exponential equation, a* = n ...... (1.) In this equation,...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - Railroad engineering - 1890 - 360 pages
...HW High water. LW Low water. LOGAEITHMS. I. -II. ¡ LOGARITHMS. ' i. DEFINITIONS AND PRINCIPLES. 1. 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 ; that is to say, it represents the number of times a fixed number must...
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