Although the base of a logarithmic function can be any positive real number other than "one", the base values most commonly used for logarithms are base ten - otherwise known as the “common logarithm” and “base e” - the “natural logarithm”. Scientific calculators can typically calculate logarithms with a base of ten or e. However, we may want to find the log of that same number with a base other than ten or e. In that case, we can use what is called the "change of base" formula which can calculate the log of a number for any arbitrary base. In this lecture, we will see how to use this formula, to convert the base of any logarithm to any other base.
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