1. The problem statement, all variables and given/known data Only the equation: 2(3^x) = 7(5^x) 2. Relevant equations N/A 3. The attempt at a solution Okay. I've been fine learning the loglaws, until I hit this question. If they were the same base (or at least near the same, ex: 2 & 8) then I could simply change them into the same base, and proceed. But I can't do that for this question - neither can I just throw "log" it all. (Though that's my solution for now - I'm really not sure how I should proceed.) So here's what I've tried: 2(3^x) = 7(5^x) log (2(3^x)) = log (7(5^x)) x log (2(3)) = x log (7(5)) x log (6) = x log (35) x = x ( log (35) / log (6) ) x = 1.98x Well that doesn't work out too well.. I've tried googling the answer - but all I get is examples with the same base, or a base that I can change to make them the same. So how could I solve this?