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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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A Mechanical Text-book: Or, Introduction to the Study of Mechanics and ...

William John Macquorn Rankine, Edward Fisher Bamber - Mechanical engineering - 1873 - 368 pages
...placed above the righthand corner, which 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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A Mechanical Text-book: Or, Introduction to the Study of Mechanics and ...

William John Macquorn Rankine, Edward Fisher Bamber - Mechanical engineering - 1873 - 372 pages
...placed above the righthand corner, which 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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Guide Book to the Local Marine Board Examination: The Ordinary Examination

Thomas Liddell Ainsley - Merchant marine - 1875 - 416 pages
...the latter of fractional numbers. But a better way of considering logarithms is as follows : — 60. DEF. — The logarithm of a number to a given base...which the base must be raised to give the number. For instance, if the base of a system of logarithms be 2, 3 is the logarithm of 8, because 8 = 23 =...
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Trigonometry for Beginners, with Numerous Examples

Isaac Todhunter - Plane trigonometry - 1875 - 248 pages
...properties of logarithms. Suppose that a" = n, then x is called the logarithm of и to (he base a : thus the logarithm of a number to a given base is the index of the power to which the base must bo raised to be equal to the number. The logarithm of и to the base a is written log„n: thus if...
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Algebra Self-taught

W. P. Higgs - Algebra - 1876 - 122 pages
...two ratios ; and between 1 and 1000, three ratios of 1 to 10. The definition has been given that " The logarithm of a number (to a given base) is the...the base must be raised to give the number." Thus if n = 6', I is the logarithm of n, the given number to the base b. And if n = 100, and 6, the base, be...
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Elements of algebra

Edward Atkins - Mathematics - 1876 - 378 pages
...+ 6) (.с + с) CHAPTER XVIII. LOGARITHMS. 150. DEF. — The logarithm of a number to a given baso is the index of the power to which the base must be raised to obtain the number. Thus, we may obtain the numbers 1, 10, 100, 1,000, 10,000, &c., by raising the base...
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Elementary Algebra

James Hamblin Smith - Algebra - 1877 - 426 pages
...the digits of N are reversed, show that N- n is divisible by r - 1. XXXVIII. ON LOGARITHMS. 446. DBF. The Logarithm of a number to a given base is the index...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 base of a system of Logarithms...
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Algebra

C R. Lupton - 1879 - 194 pages
...of 12 courses, the number in the length and breadth of the base being 40 and 20 ? LOGARITHMS. 200. The Logarithm of a number to a given base is the index or power to which the base may be raised that the result may be equal to the number. Thus, if ax =...
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A guide book to the Local marine board examination. The ordinary ..., Volume 24

Thomas Liddell Ainsley - 1880 - 482 pages
...the latter of fractional numbers. But a better way of considering logarithms is as follows : — 77. Def. — The logarithm of a number to a given base...which the base must be raised to give the number. For instance, if the base of a system of logarithms bo 2, 3 is the logarithm of 8, because 8 = 2s =...
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Army and civil service examination papers in arithmetic

Arthur Dawson Clarke - 1880 - 286 pages
...of sphere = ^* (h. + 3 (r" + rl")) ; randr, o the radii of the ends, h = height of zone. LOGARITHMS. The Logarithm of a number to a given base is the index...which the base must be raised to give the number. Log,, m = x, then a* = m. Logaa = 1. Log. 1 = o. Logao = -oo (a> 1). Log,, mn = Log,, m + Log,, n....
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