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!