2*9^x - 17 *3^x = 9 2*3^2x - 17 *3^x- 9 =0 3^x=t,t>0 2t^2-17t-9=0 D=289+72=361 t1=(17-19)/4=-1/2<0 t2=9 3^x=3^2 x=2