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" 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. "
Elementary Algebra: Embracing the First Principles of the Science - Page 254
by Charles Davies - 1850 - 279 pages
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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 base of the system. Any...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1872 - 602 pages
...book, called the log-book. [Gr. ioyor, ratio, and The logarithm of a LOG'A-RITHM apiaftoc, number], number is the exponent of the power to which it is necessary to raise a fixed number, called the base, to produce the given number. If we suppose a to preserve a constant...
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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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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,...
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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 base of the system. Any...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - Geometry - 1874 - 500 pages
...0 INTRODUCTION TO TRIG( LOGARITHMS. rYORK ASTOR, LENOX AND TILDE* FOUNDATIONS 1899 1. THE LOGAEITHM 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. Any...
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New Elementary Algebra: Embracing the First Principles of Science

Charles Davies - Algebra - 1875 - 318 pages
...corresponding number by Jf, 10™ = M. Thus, if we make m — 0, Jkf will be equal to 1 ; if m = 1, M will be equal to 10, &c. Hence, The logarithm of a number is the exponent of the poioer to which it is necessary to raise the base of the system in order to produce the number. 217....
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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 base of the system. 186....
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Tables of the Common Logarithms and Trigonometrical Functions to Six Places ...

Carl Bremiker - Logarithms - 1875 - 544 pages
...common logarithm of a number (which kind of logarithms is exclusively used for purposes of computation) is the exponent of the power to which it is necessary to raise the number 10 in order to produce the given number. Thus, if the exponents are a and I, and if we put 10"...
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Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - Conic sections - 1876 - 412 pages
...proved. TRIGONOMETRY. I. INTRODUCTION— USE OF LOGARITHMS. DEFINITIONS AND EXPLANATIONS. 1. The common logarithm of a number is the exponent of the power to which it is necessary to raise 10 to produce the given number ; thus, 2 is the logarithm of 100, because 102 = 100. NOTE. — The...
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