I understand that you want to solve this exp equation...

ok first simplify the right side2^(2x+2) will become 2^(2x)*4 or 4*4^x

now divide both by 4^x to obtain (5/4)^x=4

get the logarithms of both sides and solve for x it is easy... x=(log4)/(l0g5-log4) = 6.21