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已知x1=log132,x2=2-12,(13)x3=log3x3,则()A.x1<x3<x2B.x2<x1<x3C.x1<x2<x3D.x3<x1<x2

题目详情

已知x1=log

1
3
2,x2=2-
1
2
(
1
3
)x3=log3x3,则(  )

A. x1<x3<x2

B. x2<x1<x3

C. x1<x2<x3

D. x3<x1<x2

▼优质解答
答案和解析
x1=log
1
3
2<log
1
3
1=0,
0<x2=2-
1
2
<20=1,
又由(
1
3
)x3=log3x3,得x3=33-x3>1,
∴x1<x2<x3
故选:C.