Question 22516
Actually, you are making this much more difficult than necessary.  4^x is just a term, so pretend it's 4x for now.  Then we have 4x+6=7.  You then subtarct 6 from both sides to get 4x=1, so x=1/4.  In your problem, begin the same way but get 4^x=1.  (Any number)^0=1, so x=0.