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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 Elementary Algebra: Embracing the First Principles of the Science - Page 295
by Charles Davies - 1859 - 299 pages
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New Elementary Algebra

Benjamin Greenleaf - 1879 - 346 pages
...geometrical progres sion are 1 and 128, respectively, required the series. APPENDIX. LOGARITHMS. S50. The LOGARITHM of a number is the exponent of the power to which some constant number, called the base, must be raised to equal the number. Thus, suppose crc=nj, then...
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New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - Algebra - 1879 - 376 pages
...128, respectively, required the series. Ans. 1, 2, 4, 8, 16, 32, 64, 128. APPENDIX. LOGARITHMS. 350. The LOGARITHM of a number is the exponent of the power to which some constant number, called the base, must be raised to equal the number. Thus, suppose ax— m, then...
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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 is to abridge numerical...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - Railroad engineering - 1880 - 362 pages
...Rise per mile of various grades 317 LOGAEITHMS. I.-II. LOGARITHMS. l. DEFINITIONS AND PEINCIPLES. 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...
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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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The Franklin Elementary Algebra

Edwin Pliny Seaver, George Augustus Walton - Algebra - 1881 - 304 pages
...base may have any positive value except 1. The base of the common system of logarithms is 10. 384. The logarithm of a number is the exponent of the power to which the base must be raised to produce the number. The abbreviation log is used for the words the logarithm...
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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...
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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...
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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...
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