# How do you solve #3^(2x) = 81#?

##### 1 Answer

Dec 17, 2015

The unique solution is

#### Explanation:

This is an equation with the x at the power, so you have to write

You can now apply the natural logarithm at both sides of the equation (ln is a strictly growing function on R, which guanrantees you that the x you will find is unique) :

Now you can divide on both sides by