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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 Elements of Plane and Spherical Trigonometry - Page 10
by Thomas Ulvan Taylor, Charles Puryear - 1902 - 160 pages
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1867 - 316 pages
...Thus, if we make m — 0, M will be equal to 1 ; if m — 1, M will be equal to 10, &c. Hence, Tlie logarithm, of a number is the exponent of the power to which it is necessary to raise th& base of the system in order to produce the number. 2 1 •?. If, as before,...
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Elements of Trigonometry, Plane and Spherical

Lefébure de Fourcy (M., Louis Etienne) - Trigonometry - 1868 - 350 pages
...to the law of continuity and do not reproduce all numbers. The logarithm of a number to a given base is the exponent of the power to which the base must be raised to become equal to the given number. 4. Since a1 =a, a° = l, and a—=° =0, or а+°° =0, according...
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A Treatise on Algebra

Elias Loomis - Algebra - 1868 - 386 pages
...decimal places. 2.4 2.4.9 ' O6~5.10.16 2 ~5.10.15,16 3 ~' =1.9743506. CHAPTER 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: With Applications in Mensuration

Charles Davies - Geometry - 1870 - 392 pages
...will form the bodies which have been described. ELEMENTS INTRODUCTION. SECTION I. ОГ LOGARITHM». 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...
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Elements of Surveying and Leveling: With Descriptions of the Instruments ...

Charles Davies - Leveling - 1871 - 448 pages
...the Surface 268 ELEMENTS OF SURVEYING. BOOK I. LOGARITHMS AND TRIGONOMETRY. SECTION I. LOGARITHMS. 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. The fixed number is called the...
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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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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...
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