# Change of Base Formula for Logarithms

**Formula:** `log`

_{b}(A) = log_{c}(A) / log_{c}(b)

The change of base formula for logarithms is a mathematical identity that allows us to evaluate logarithms on a calculator by changing them from one base to another. If the calculator does not have a function for a certain base, we can use this formula to change it to a base that the calculator can handle. The formula states that the logarithm of a number ** A** with base

**is equal to the division of the logarithm of**

*b***with base**

*A***by the logarithm of**

*c***also with base**

*b***. This formula is particularly useful in computer science and other fields where logarithms of base 2 are commonly used.**

*c*Tags: Algebra, Logarithms, Change Of Base