Question: Solve teh logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answers

(Log 2^(x+2)) + (log 2^(x-4))=4

I know the answer is 6, but is completely clueless on how to get 6.

here is what my work looks like:

= log 2^(x+2)(x-4)=4

= log 2 ^ (x^2-2x-8)=4

= log 2^(x^2-2x-12)

= quadratic formula

= x=2 +/- square root of 52 / 2

that is where i stopped, because 52 is not a perfect square.

Please help ASAP!

Test is tomorrow!