问题
填空题
1<x<a,则(logax)2,logax2,loga(logax)的大小顺序是______.
答案
∵1<x<a
∴0<logax<1,loga(logax)<0
∵2logax>logax>(logax)2
即logax2>(logax)2> loga (logax)
故答案为logax2>(logax)2> loga (logax)
1<x<a,则(logax)2,logax2,loga(logax)的大小顺序是______.
∵1<x<a
∴0<logax<1,loga(logax)<0
∵2logax>logax>(logax)2
即logax2>(logax)2> loga (logax)
故答案为logax2>(logax)2> loga (logax)