# How do you solve #Log_6(x+8) + log_6 (x-8)=2#?

##### 1 Answer

Oct 22, 2015

#### Explanation:

First, use the fact that

Now rewrite this last equation in exponential form as

Sometimes the solution of logarithmic equations gives extraneous (fictitious) roots, so these should be checked in the original equation (with close attention paid to the domain). In fact,

What about