若a²>b>a>1,试比较log b b/a ,log b a,log a b的大小

若a²>b>a>1,试比较log b b/a ,log b a,log a b的大小
若a²>b>a>1,试比较log b b/a ,log b a,log a b的大小

若a²>b>a>1,试比较log b b/a ,log b a,log a b的大小
logb b/a-logb a=logb (b/a²)
∵a²>b>a>1
∴b/a²1
∴loga b>logb a
∴loga b>logb a>logb b/a