Here's the problem:

$\displaystyle 2^{2x+12}= 3^{x-34}$

I can get it to this by taking the log of both sides:

$\displaystyle \frac{2x+12}{x-34}=\frac{log(3)}{log(2)}$

Now I could just use a calculator and get the value for the right side and the clean it up. But how would I finish this problem and get the answer in terms of log or ln. Can someone give me a hand? Thanks!