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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. "
New University Algebra: A Theoretical and Practical Treatise Containing Many ... - Page 343
by Horatio Nelson Robinson - 1868
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1871 - 404 pages
...logarithm of that number ; and a is called the base of the system in which the logarithm is taken. Hence, The logarithm of a number is the exponent of the power to ivhich it is necessary to raise the base, in order to produce the given number. The logarithms of all...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1872 - 464 pages
...spherical trigonometry. b TRIGONOMETRY AND MENSURATION. INTR0DUCTI0N T0 TRIG0N0METRY. LOGARITHMS. 1. THB 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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Surveying and Navigation: With a Preliminary Treatise on Trigonometry and ...

Aaron Schuyler - Navigation - 1873 - 536 pages
...LOGARITHMS. 1. Definition. A logarithm of a number is the exponent denoting the power to which a fixed number, called the base, must be raised in order to produce the given number. Thus, in the equation, b' — n, b is the base of the system, n is the number whose logarithm is to be taken, and...
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An Elementary Algebra

Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...Find the square of a - b+y. Ans. a? 3. Find the square of a — b — c. SECTION Lll. LOGARITHMS. 391. The Logarithm of a number is the exponent of the power to which a constant number must be involved to produce the given number. Thus, if 8 is the constant number, 2...
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A Treatise on Algebra

Elias Loomis - Algebra - 1873 - 396 pages
...seven decimal places. 2.4 2.4.9 ' ' 5.16 5.10.168 5.10.15.163 = 1.9743506. CHAPTEE XX. LOGARITHMS. 394. The logarithm of a number is the exponent of the power to which a constant number must be raised in order to be equal to the proposed number. The constant number is...
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Elements Of Geometry And Trigonometry

Charles Davies - 1874 - 464 pages
...spherical trigonometry. TRIGONOMETRY AND MENSURATION. INTRODUCTION TO TRIGONOMETRY. LOGARITHMS. 1. TUB 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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New University Algebra

Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...day. Ans. 80° 6' 27". 8. At 6 o'clock p. M. of the second day. Ans. 81° 37' 43". LOGARITHMS. 399. The Logarithm of a number is the exponent of the power...produce the given number. Thus, in the expression, a" = b, the exponent, x, is the logarithm of b to the base a. An equation in this form is called an exponential...
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Plane and Spherical Trigonometry and Mensuration

Aaron Schuyler - Measurement - 1875 - 284 pages
...LOGARITHMS. 1. Definition. A logarithm of a number is the exponent denoting the power to which a fixed number, called the base, must be raised in order to produce the given number. Thus, in the equation, b'=n, b is the base of the system, n is the number whose logarithm is to be taken, and x...
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Manual of Algebra

William Guy Peck - Algebra - 1875 - 348 pages
...I 4 ___ 1 p 1 ' 3(ж — 2) — 2(ж — 1) + 6(ж + 1)' CHAPTER XI. LOGARITHMS. Definitions. 185. 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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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...ELEMENTS PLANE AND SPHERICAL TRIG0N0METRY; PRA6TI6AL APPLI6ATI0NS. TRIGONOMETRY, BOOK I. LOGARITHMS. 1. THE LOGARITHM of a number is the exponent of the power to which a given fixed number must be raised in order to produce the first number. 2. The BASE of the system is...
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