已知x满足（九分之四）的2x次方=（二分之三）的x次方?（二十七分之八）的x+2次方

(4/9)^(2x)=(3/2)^x*(8/27)^(x+2)
(2/3)^4x=(3/2)^x(2/3)^(3(x+2))
(2/3)^4x=(3/2)^x(2/3)^3x(2/3)^6
(2/3)^(4x-3x)=(3/2)^x*(2/3)^6
2^x/3^x=3^x/2^x*(2/3)^6
2^2x=3^2x*(2/3)^6
2^x=3^x*(2/3)^3
(2/3)^x=(2/3)^3
x=3