# How do you solve #log_2 x - log_8 x = 4#?

##### 1 Answer

Apr 7, 2016

You must first put in the same base. This can be started out by using the log rule

#### Explanation:

Now, rewrite the terms in the denominator by using the rule

Place on an equal denominator.

Now, you must use the rule

Convert to exponential form:

Checking the solution in the equation, we find that it works. Thus our solution set is

Hopefully this helps!