解方程 (2/3)^x *(9/8)^x=27/64

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解方程 (2/3)^x *(9/8)^x=27/64
解方程 (2/3)^x *(9/8)^x=27/64

解方程 (2/3)^x *(9/8)^x=27/64
(2/3)^x *(9/8)^x=27/64
(2/3*9/8)^x=27/64
(3/4)^x=27/64
x=3

(2/3)^x *(9/8)^x=27/64
[(2/3)*(9/8)]^x=27/64
(3/4)^x=27/64
∵3³=27，4³=64，
∴x=3