# Glossary for Lesson 32: Properties of Logs

### Product property

The product property of logarithms can be stated as the following:

\log_aAB=\log_aA+\log_bB

### Quotient property

The quotient property of logarithms can be stated as the following:

\log_a\frac{A}{B}=\log_aA-\log_aB

### Power Property

The power property of logarithms can be stated as the following:

\log_aA^n=n\log_aA

### Change of Base Formula

In order to change the base of a logarithmic expression without changing its value, we can use the change of base formula:

\log_ax=\frac{\log_bx}{\log_ba}