Question

2^(2x+2)=2^(3x-1)find x

Answer 1

2^(2x+2) = 2^(3x-1)
 on comparing both sides 
 2x+2 = 3x-1
  3x - 2x = 2+1 
       x   =   3

Answer 2

x=3
=2^(2*3+2)=2^(3*3-1)
=2^8=2^8
Both are having same base and same power So,
x=3.

Hope it helps
Thanks