# How do you solve #(\frac { 1} { 81} ) ^ { 6x + 2} = 9^ { 2x ^ { 2} + 12}#?

##### 1 Answer

Jan 20, 2018

#### Explanation:

Start by working on the left side:

Since

By the rule

So our equation now looks like:

If

moving everything to one side and collecting like terms we have:

Dividing thruogh by 2:

factoring:

Solving: