# How do you solve #log_3 (x + 3) + log_3 (x + 5) = 1#?

##### 1 Answer

Dec 6, 2015

x=-2

#### Explanation:

log(base3)((x+3)(x+5))=1 write in exponential form

x=-6 or x=-2

x=-6 is extraneous . An extraneous solution is root of transformed but it is not a root of original equation.

so x=-2 is the solution.