已知,(64/27)^(x-1)×(4/3)^2x-3=9/16,则x=?

已知,(64/27)^(x-1)×(4/3)^2x-3=9/16,则x=?
已知,(64/27)^(x-1)×(4/3)^2x-3=9/16,则x=?

已知,(64/27)^(x-1)×(4/3)^2x-3=9/16,则x=?
即(4/3)^(3x-3)×(4/3)^(2x-3)=(16/9)^(-1)
(4/3)^(3x-3+2x-3)=(4/3)^(-2)
3x-3+2x-3=-2
x=4/5

(4/3)^3(x-1) ×(4/3)^(2x-3)=(4/3)^(-2)
3(x-1)+2x-3=-2
3x-3+2x-3=-2
5x=4
∴x=4/5