2^(2 x - 2) + 2^(2 x - 3) = 160
2*2^(2 x - 3) + 2^(2 x - 3) = 160
3*2^(2 x - 3) = 160
2^(2 x - 2) = 160/3
log(2) 2^(2 x - 3) = log(2) 160/3
(2 x - 3) = log(2) 160/3
x = (log(2) 160/3 + 3)/2
2^(2 x - 2) + 2^(2 x - 3) = 160
2*2^(2 x - 3) + 2^(2 x - 3) = 160
3*2^(2 x - 3) = 160
2^(2 x - 2) = 160/3
log(2) 2^(2 x - 3) = log(2) 160/3
(2 x - 3) = log(2) 160/3
x = (log(2) 160/3 + 3)/2