# Properties of Logarithms

As you may have noted in introduction to logarithms, the logarithm of a number x with respect to a base b is the exponent y to which b is raised to. We use this property to express the rules of exponents in terms of logarithms.

**Learning Objectives: **

- Rules of Logarithms
- Prove Rules of Logarithms
- Use rules to expand logarithm of an expression
- Use rules to rewrite a given expression containing multiple logarithms as an expression containing only one logarithm.
- Learn and apply
**Change of Base Formula**for both logarithms and exponential functions