My problem is this:

Solve for t in terms of a, b, and c: a^t = bc^t

So far I've gotten this:

t loga = t logbc

t loga = t(logb + logc)

I don't know if that's right, and if that is right, where to go from there. I'm also not even sure what the problem is asking me to do! Do I need three solutions?