数学log2(x-1)<1怎么解?

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数学log2(x-1)<1怎么解?
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数学log2(x-1)<1怎么解?
数学log2(x-1)<1怎么解?

数学log2(x-1)<1怎么解?
log2(x-1)<1
0<(x-1)<2
1<x<3

log2(x-1)<1 则0<(X-1)<2 化简得1 <X<3 X的解集是(1,3)

y=log2x在(0,+∞)单调递增
且当x=2时,y=log2x=1
∴log2(x-1)<1
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log10=1所以2(x-1)<10 , 所以X<6