# How do you solve #log_4 (x^2 + 3x) - log_4(x - 5) =1#?

##### 1 Answer

Jul 28, 2016

#### Explanation:

Using the identity

This yields to

This is because, if

Now the equation can be solved for values of

The roots of this equation are imaginary.

They can be found using the formula

Here,

Therefore,