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" Suppose that a*=n, 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. "
Elementary Trigonometry - Page 84
by James Hamblin Smith - 1870 - 224 pages
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Plane trigonometry and logarithms

John Walmsley - Logarithms - 1865 - 232 pages
...or, as it is nsual to express it, x is the logarithm of N to the base a. Hence the Definition. — 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. For brevity's sake we write loga N for the words the logarithm of N to...
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A mathematical course for the University of London. (2nd)

Thomas Kimber - Mathematics - 1865 - 302 pages
...the base b is thus expressed, log.t N = p. The logarithm of a number, therefore, may be defined to be the index of the power to which the base must be raised, that the result may be equal to that number. 190. In Briggs's tables the base chosen is 10. In this...
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1866 - 614 pages
...1)4)XXXVIII. LOGARITHMS. 531. Suppose a" = n, 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 eqiuil to the number. The logarithm of n to the base a is written logam; thus loga?i = x expresses...
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Trigonometry for Beginners: With Numerous Examples

Isaac Todhunter - Plane trigonometry - 1866 - 216 pages
...properties of logarithms. 61. Suppose that a*=n, 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
...LOGARITHMS. 531. Suppose a" = 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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Trigonometry for Beginners: With Numerous Examples

Isaac Todhunter - Plane trigonometry - 1866 - 206 pages
...properties of logarithms. 1 51. Suppose that a* =n, 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 aust be raised to be equal to the number. The logarithm of n to the base a is written log, n : thus...
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A Syllabus of Trigonometry

Arthur Stokes - Trigonometry - 1868 - 170 pages
..., 1 - ten'A sin 3xķ = 3 sinЛ - 4 sin'Л, cosЗЛ = 4 cos*A - 3 eos A. CHAPTER X. LOGARITHMS. 83. Def. The logarithm of a number to a given base is...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 Algebra

James Hamblin Smith - Algebra - 1870 - 468 pages
...when the digits of N are reversed, shew that 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
...angles of the two triangles are supplements, 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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Rules and Formulę in Elementary Mathematics. With Notes

Braithwaite Arnett - Mathematics - 1873 - 120 pages
...last kind = n, of the first kind, then m^mjnt...mr = njn3nt...nfn^. THE USE OF COMMON LOGARITHMS. DBF. The logarithm of a number to a given base is the index...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 figures in the logarithmic...
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