Is this math answer correct?

Question

what is x?
4^(x+2)=log[3](4^6)

The answer i got was x=0.460 but i dont think is correct.
Thanks in advance for your help!!!!

Answer 1

4^(x+2)=log[3](4^6)
x = { log(log[3](4^6))/log(4) } -2

Answer 2

You need to get the x free! I've forgotten how to get it down from the power.

log 3 x (4^6) = 1954.288659

From trial and error x = 3.466 but I can't do the proof