2^x-2^(x-2)=3 (4/9)^x*(27/8)^(x-1)=2/3

Question

2^x-2^(x-2)=3

(4/9)^x*(27/8)^(x-1)=2/3

Answer 1

1) 2^x - 2^x / 2^2 =3
2^x = a
a - a/4 = 3
4a -a =12
3a=12
a=4
2^x=4
x=2
 
2) (2/3)^2x * (2/3)^(-3x+3) = 2/3
     (2/3)^(2x-3x+3)=2/3
2x-3x+3=1
-x=-2
x=2