 | Stephen Chase - Algebra - 1849 - 348 pages
...also the RADIX (§23. d), of the system. Hence, for a given base, § 312. The logarithm of any number is the exponent of the power to which the base must be raised, to produce that number. Thus, 2 is the logarithm of 100 to the base 10 ; because ~2 is the exponent of... | |
 | Lefébure de Fourcy (M., Louis Etienne) - Trigonometry - 1868 - 350 pages
...not subject to the law of continuity and do not reproduce all numbers. The logarithm of a number to a given base is the exponent of the power to which the base must be raised to become equal to the given number. 4. Since a1 =a, a° = l, and a—=° =0, or а+°° =0, according... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...All numbers are regarded as powers of some one number, which is called the base of the system ; and the exponent of the power to which the base must be raised in order to be equal to a given number is called the logarithm of that number. The base of the common... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...1.311, and for 5 years $1.403, what is the amount for 4 years and 6 months ? XLI. — LOGARITHMS. 444. The logarithm of a quantity to any given base, is...the base must be raised to equal the quantity. For example, if a* = m, x is the exponent of the power to which the base, a, must be raised to equal the... | |
 | Edwin Pliny Seaver, George Augustus Walton - Algebra - 1881 - 304 pages
...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 of. 385. The value of... | |
 | Webster Wells - Trigonometry - 1883 - 234 pages
...(Divide by cosa;.) 10. sin x — sin a sin (x + 6) . VI. LOGARITHMS. 84. The logarithm of a quantity to a given base is the exponent of the power to which the base must be raised to equal the quantity. Thus, if ax= m, x is the exponent of the power to which the base a must be raised to equal the quantity... | |
 | George Albert Wentworth - Algebra - 1888 - 514 pages
...positive number be selected as a base ; let all other numbers be regarded as powers of this base. Then, the exponent of the power to which the base must be raised to obtain a given number is called the logarithm of that number to the given base. Any positive number... | |
 | Thomas J. Foster - Coal mines and mining - 1891 - 444 pages
...substituting in their stead addition and subtraction. The base of the system is 10. and, as a logarithm is the exponent of the power to which the base must be raised in order to be equal to a given number, all numbers are to be regarded as powers of 10 ; hence, 10°... | |
 | Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...the nature and use of logarithms, and the manner of calculating them. The logarithm of a number to a given base is the exponent of the power to which the base must be raised to give the number. Thus, if a' = m, x is called the "logarithm of m to the base a," and is usually written... | |
 | George Albert Wentworth - Surveying - 1895 - 422 pages
...Logarithms. Any positive number being selected as a base, the logarithm of any other positive number is the exponent of the power to which the base must be raised to produce the given number. Thus, if a" = N, then n = loga.Zv". This is read, я is equal to log.V to... | |
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Any positive number being selected as a base, the logarithm of any other positive number is the exponent of the power to which the base must be raised to produce the given number. Thus, if a 
