4（x是指数)=2(2x指数)
2^(2x)+2^(2x-1)=3^(x+0.5)+3^(x-0.5)
1.5*4^(x)=3^x*( √3+√3/3)
(4/3)^x=( √3+√3/3)/1.5= 8√3/9
x=(lg8√3/9)/lg(4/3)
=1.5
补充：8=4*2=4 * 4^(0.5) =4^(1.5)
√3/9 = 3^(0.5) * 3^(-2) =3^(-1.5)
8√3/9=(4/3)^1.5