# Logarithmic Functions

## Converting between exponential and logarithmic form

How do write the exponential equation $2^x=8$ in logarithmic form? How do you write the logarithmic equation $\log_2 8 = x$ in exponential form? In case you didn’t notice, these two statements are mathematically equivalent, since the solution to both equals $3$, but what just happened? In the exponential equation,…

## Rules of Logarithms

Since logarithmic functions are the inverse of an exponential functions, they must follow the laws of exponents. The three properties of logs listed below will be used to combine and solve expressions and equations in this section and the next. Each of these properties are derived from the laws of exponents.…