解不等式log2(2^x-1)log(2^x-2)

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解不等式log2(2^x-1)log(2^x-2)<2

log2(2^x-1)log(2^x-2)<2
(x-1)iog2[2](x-2)log(2[2]<2
(x-1)(x-2)<2
x^2-3x+2<2
x(x-3)<0 解之0