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](/uploads/image/z/655088-32-8.jpg?t=%E8%A7%A3%E6%96%B9%E7%A8%8B+%282%2F3%29%5Ex+%2A%289%2F8%29%5Ex%3D27%2F64)
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