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logarithm mathematical definition. If nx a the logarithm of a with n as the base is x. English Language Learners Definition of logarithm mathematics.
Logarithm the exponent or power to which a base must be raised to yield a given number. Therefore 3 is the logarithm of 8 to base 2 or 3 log 2 8. In mathematics the logarithmic function is an inverse function to exponentiation.
Common Logarithm The common logarithm is the logarithm to base 10.
For example the base ten logarithm of 100 is 2 because ten raised to the power of two is 100. The power to which a base such as 10 must be raised to produce a given number. This is done particularly when the argument to the logarithm is not a single symbol so as to prevent ambiguity. In mathematics the logarithm to the base b of a positive number y is defined as follows.