9*2^2x+5*2^x*3^x-4*3^2x=0 (2/3)^x=t 9(2/3)^x+5-4(3/2)^x=0 9t+5-4/t=0 9t^2+5t-4=0 t>0 t=(-5+13)/18 t=4/9 (2/3)^x=(2/3)^2 x=2