What is the exponential relationship between a number and its base 10 logarithm?

In math, the logarithm of a number to a given base is the power or exponent to which the base must be raised in order to produce the number. Ex: Logarithm of 1000 to base 10 is 3, because 3 is the power to which 10 must be raised to produce 1000. More.

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