# How do you solve #log_7 x= -1#?

##### 1 Answer

May 11, 2016

#### Explanation:

The log function is asking us what power of the base gives us the argument of the

If

The inverse of a

The way we use this is to apply the "inverse" to both sides of an equation. Starting with the equation from our question

Raising both sides of the equation to the power of the base,

Then simplifying both sides using our expression from above: