Question

I have a function with unequal bases, its 3^x=5^12 Could someone be a babe and show me how to solve it?

Answer 1

Take log with base of 3 of both sides.

Answer 2

\(\log_3(3^x) = x\log_3(3)=x\)

So we have \(x=\log_3(5^{12})=\boxed{12\log_3 (5)}\)