log((x-3)/2) + log((x+2)/7) = 0

I am having no trouble with other problems of the same type, for some reason this one is stumping me. I have the answer, I need the process of GETTING the answer. (Supposedly the answer is 5). I know the rules and the basics of logarithms, I just think I'm probably making the same mistake over and over, please go through the solving process for me.

Question

log((x-3)/2) + log((x+2)/7) = 0

I am having no trouble with other problems of the same type, for some reason this one is stumping me. I have the answer, I need the process of GETTING the answer. (Supposedly the answer is 5). I know the rules and the basics of logarithms, I just think I'm probably making the same mistake over and over, please go through the solving process for me.

anonymous · Answer

Are you specifying $\log$ as the natural logarithm or base 10?

anonymous · Answer

Base 10. And actually, I don't think I was clear enough on the parentheses. They are meant to be ((x-3)/2) and ((x+2)/7)