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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 give the number. Thus if m = a", x is called the logarithm of m to the base a. "
Surveying Manual ; a Surveying - Side 382
av William David Pence - 1915 - 388 sider
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Algebra

Isaac Todhunter - 1858 - 530 sider
...a" = n, then x is called the logarithm of n to the • 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 и to the base a is written logди; thus logдii = x expresses...
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An elementary treatise on plane trigonometry

Richard Dunkley Beasley - 1858 - 144 sider
...expressed x = loga N. Hence we obtain the following definition. 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 be equal to the given number. 53. In the equation N= ax, let a be some constant quantity...
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Plane Trigonometry ...

Isaac Todhunter - 1860 - 318 sider
...a* = n, then x is called the logarithm ofnto 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 logaw; thus logaw = x expresses...
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The elements of algebra. [With] Answers

Robert Fowler - 1861 - 426 sider
...base, every number from 0 to зэ may be regarded as a power of that base. The " Logarithm" of a number is the index of the power to which the base must be raised to produce that number. If 4 be the base, then 42 = 16) And these equalities may be written log. 16 =...
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An Introduction to Plane and Spherical Trigonometry

Alfred Challice Johnson - 1865 - 166 sider
...supplements, the one of the other. 45 CHAPTER V. On Logarithms. Def. — 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, a: is called the logarithm of N to the base a....
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Plane trigonometry and logarithms

John Walmsley - 1865 - 232 sider
...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 - 1865 - 302 sider
...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 - 1866 - 618 sider
...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 - 1866 - 216 sider
...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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A Syllabus of Trigonometry

Arthur Stokes - 1868 - 170 sider
...sin'Л, 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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