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- Logarithms can be used to solve an equation with an unknown exponent
- The standard base is 10
- The natural logarithm has a base of the mathematical constant e
- John Napier is usually given the credit for the invention of logarithmsPlanetMath.org: Logarithm
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A logarithm for a given base (b) is the inverse of taking that base to the power of a value, such that log(b^x) = x. A log can have any value as a base. The most common bases are 10 and the mathematical constant e, which is the base for the natural logarithm.PlanetMath.org: Logarithm WolframMathWorld: Logarithm
Rules of Logarithms
- These rules apply to logarithms with a base of x:
- log(ab) = log(a) + log(b)
- log(a/b) = log(a) - log(b)
- log(a^b) = b * log(a)
- log(1) = 0
- log(x) = 1PlanetMath.org: Logarithm
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Logarithm Questions
How do I input this into my calculator? 2 AnswersThe calculator can't calculate the log in a base other than 10, so use the formula: log (base a) b = log b / log a For example: log (base 2) 8 = log 8 / log 2 ... read more -
Logarithm Theories
- JSTOR: Napier's Method as a Basis for the Theory of Logarithms
- Wolfram Demonstration Project: The Law of the Iterated Logarithm in Probability Theory
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