解方程(4/9)^x乘以(27/8)^x-1 =2/3 說一下思路就行.

解方程(4/9)^x乘以(27/8)^x-1 =2/3 說一下思路就行.

[(2/3)^2]^x*[(3/2)^3]^(x-1)=2/3(2/3)^2x*(3/2)^(3x-3)=2/3(2/3)^2x*(3/2)^2x*(3/2)^(x-3)=2/3 [(2/3)*(3/2)]^2x*(3/2)^(x-3)=2/3 1^2x*(3/2)^(x-3)=(3/2)^(-1)(3/2)^(x-3)=(3/2)^(-1)x-3=-1 x=2