How do you express (log 24)^2 - (log 12)^2 - (log 8)^2 + (log 4)^2 in the form A(log B)(log C), where A, B, C are prime numbers? By the way, this is a problem from AoPS alcumus.
I just realized that this question is an AoPS question. It is against their rules for you to post here,
they want you to use their notice board and your own brain.
Sorry, We cannot help you.