The change of base formula is used to change the base of logarithms.^{[1]} The change of base formula is .
When logarithms were first invented, there were no calculators. Mathematicians and astronomers used books published with tables of logarithms. Each table had exactly one base. To find a logarithm with another base, they used the change of base formula.
Today, most calculators and math based computer programs have logarithms in two bases: base 10 and base e. To find a logarithm in any other base, one must use the change of base formula.

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