题目内容
若log2[log
(log2x)]=log3[log
(log3y)]=log5[log
(log5z)]=0，则x、y、z的大小关系是（ ）
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 5 |
| A．z＜x＜y | B．x＜y＜z | C．y＜z＜x | D．z＜y＜x |
∵log2[log
(log2x)]=log3[log
(log3y)]=log5[log
(log5z)]=0，
∴log
(log2x) =log
(log3y)=log
(log5z)=1，
∴log2x=
，log3y=
，log5z=
，
∴x=
，y=
，z=
，
∴z＜x＜y．
故选A．
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 5 |
∴log
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 5 |
∴log2x=
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 5 |
∴x=
| 2 |
| 3 | 3 |
| 5 | 5 |
∴z＜x＜y．
故选A．
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