问题 填空题
log2log
1
2
log
2
x=log3log
1
3
log
3
y=log5log
1
5
log
5
z=0
,则x,y,z按从小到大的顺序排列是______
答案

log2log

1
2
log
2
x=log3log
1
3
log
3
y=log5log
1
5
log
5
z=0得;

log
logx
2
1
2
=1,
log
logy
3
1
3
=1,
log
logz
5
1
5
=1,

logx
2
=
1
2
logy
3
=
1
3
logz
5
=
1
5

解得:x=

42
,y=
63
,z=
105

所以z<x<y

故答案为z<x<y

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