# How do you solve #log_ 2 (x+2) - log_2 (x-5) = 3#?

##### 1 Answer

Mar 18, 2016

same base so you can add the log terms

log2

so now you can convert this to exponent form:

We will have

or

x + 2 = 8(x - 5)

7x = 42

x = 6

quick check by substitution to the original equation will confirm solution.