# How do you solve #log_ 5 (x+4) + log _ 5 (x+1)= 2#?

##### 1 Answer

Feb 17, 2016

You can start by simplifying using the log property

#### Explanation:

Convert to exponential form:

We can solve this equation by factoring. This is a trinomial of the form

Since having a negative log is undefined, the only solution to the equation is x = 3.

Hopefully this helps.