问题
选择题
若a=log23,b=log32,c=log
|
答案
∵log23>log22=1,而0<log32<log33=1
∴0<b<1<a
又∵-1=log
3<log1 3
2<0,∴c∈(-1,0)1 3
∵log2
<log21 3
=-1,∴d<-11 2
综上所述,得d<-1<c<0<b<1<a,即d<c<b<a
故选:C
若a=log23,b=log32,c=log
|
∵log23>log22=1,而0<log32<log33=1
∴0<b<1<a
又∵-1=log
3<log1 3
2<0,∴c∈(-1,0)1 3
∵log2
<log21 3
=-1,∴d<-11 2
综上所述,得d<-1<c<0<b<1<a,即d<c<b<a
故选:C