# How do you solve #log (x²+7)=2/3 log 64#?

##### 1 Answer

You first of all must put all logs to one side of the equation.

#### Explanation:

Simplify using the rule

Simplify using the rule

Convert to exponential form

Simplify by the property

Normally, in logarithmic equations, a negative solution must be rejected because if a log is negative it is undefined. Therefore, it is always extremely important to verify your solutions inside the original equation. However, in this case both solutions are fine so your solution set is

Hopefully this helps!