题目内容
三个数log0.23.1、0.23.1、3.10.2的大小关系是( )
| A.0.23.1<log0.23.1<3.10.2 |
| B.log0.23.1<0.23.1<3.10.2 |
| C.log0.23.1<3.10.2<0.23.1 |
| D.0.23.1<3.10.2<log0.23.1 |
∵y=log0.2x是减函数,
∴log0.23.1<log0.21=0;
∵y=0.2x是减函数,
∴0<0.23.1<0.20=1,
∵y=3.1x是增函数,
∴3.10.2>3.10=1,
故log0.23.1<0.23.1<3.10.2.
故选B.
∴log0.23.1<log0.21=0;
∵y=0.2x是减函数,
∴0<0.23.1<0.20=1,
∵y=3.1x是增函数,
∴3.10.2>3.10=1,
故log0.23.1<0.23.1<3.10.2.
故选B.
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