## Algebra## Exponents and Logarithms |

## How can the base of logarithms be changed? |

The base of logarithms can be changed from one that is not 10 or *e* to an equivalent logarithm with base 10 or *e.* The following gives the formula for such a transition, in which *a*, *b*, and *x* are real positive numbers (but neither *a* nor *b* are equal to 1, and *x* is greater than 0):

Convert log_{a} *x* to the base *b* by using the formula (log_{b}x)/(log_{b}a).