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" The logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number; thus, in the equation a* = N, x is called the logarithm of N to the base a. "
The elements of algebra. [With] Answers - Page 234
by Robert Fowler - 1861
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Trigonometry for Beginners: With Numerous Examples

Isaac Todhunter - Plane trigonometry - 1866 - 216 pages
...then x is called the logarithm of n to the base a : thus the logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The logarithm of n to the base a is written log. n : thus if a* = n, then x...
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1866 - 580 pages
...n, then x is called the logarithm ofn to the lose a; thus the logai-ithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The logarithm of n to the base a is written Iog0w; thus \ogan = x expresses...
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A Syllabus of Trigonometry

Arthur Stokes - Trigonometry - 1868 - 170 pages
...cosЗЛ = 4 cos*A - 3 eos A. CHAPTER X. LOGARITHMS. 83. Def. The logarithm of a number to a given base is the index of the power to which the base must be raised in order to equal the given number. Thus if a' = m, x is the index to which a has to be raised in order...
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Elementary Trigonometry

James Hamblin Smith - Trigonometry - 1870 - 286 pages
...Involution Multiplication, Evolution Division. 136. DEF. The Logarithm of a number to a given base is the index of the power to which the base must be raised to give the number. Thus if m = a", x is called the logarithm of m to the base a. For instance, if the...
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Elementary Algebra

James Hamblin Smith - Algebra - 1870 - 452 pages
...is divisible by 1 — 1. XXXVIII. ON LOGARITHMS. 446. DBF. The LOGARITHM of a number to a given base is the index of the power to which the base must be raised to give the number. Thus if m = a", x is called the logarithm of m to the base a. For instance, if the...
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Elementary Algebra

James Hamblin Smith - Algebra - 1870 - 478 pages
...Nn is divisible by rl. XXXVIII. ON LOGARITHMS. 446. DBF. The LOGARITHM of a number to a given base is the index of the power to which the base must be raised tu give the number. Thus if m - a", x is called the logarithm of m to the base a. For instance, if...
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The Elements of Plane and Spherical Trigonometry ...

Alfred Challice Johnson - Spherical trigonometry - 1871 - 178 pages
...the one of the other. CHAPTER V. On Logarithms. De/. — The logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number; thus, in the equation a* = N, x is called the logarithm of N to the base a....
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A Mechanical Text-book: Or, Introduction to the Study of Mechanics and ...

William John Macquorn Rankine, Edward Fisher Bamber - Mechanical engineering - 1873 - 368 pages
...denotes the number of times the multiplication takes place. The Logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the given number. That number of which the indices of the powers are the logarithms, is...
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Rules and Formulæ in Elementary Mathematics. With Notes

Braithwaite Arnett - Mathematics - 1873 - 120 pages
...m^mjnt...mr = njn3nt...nfn^. THE USE OF COMMON LOGARITHMS. DBF. The logarithm of a number to a given base is the index of the power to which the base must be raised to give the number. The base of the common system is 10. When a bar occurs over the first of the four...
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A Mechanical Text-book: Or, Introduction to the Study of Mechanics and ...

William John Macquorn Rankine, Edward Fisher Bamber - Mechanical engineering - 1873 - 332 pages
...denotes the number of times the multiplication takes place. The Logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the given number. That number of which the indices of the powers are the logarithms, is...
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