change of base formula log calculator


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  • What is the formula for the change of base of a log?

    The change of base formula says logb b a = [logc c a] / [logc c b].
    It means to change the base of a logarithm logb b a, we just use division [log a] / [log b] where these logarithms can have any (same) positive number as a base.

  • Answer and Explanation:
    To convert a logarithm with base 10, or a common logarithm, to a logarithm with base e, or a natural logarithm, we use the following formula: l o g ( x ) = l n ( x ) l n ( 10 )

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