比较大小,log(6)7和log(7)6怎么比较大小?log(6)7和log(7)6怎么比较大小?log(3)π和log(2)0.8又怎么比较呢?
问题描述:
比较大小,log(6)7和log(7)6怎么比较大小?
log(6)7和log(7)6怎么比较大小?
log(3)π和log(2)0.8又怎么比较呢?
答
设L67=n则6^n=7 L76=m 7^m=6很明显n大于1,m小于1 简化log(6)7计为上L67
答
log(6)7=lg7/lg6>1
log7(6)=lg6/lg7log7(6)
log(3)π>1
log(2)0.8log(2)0.8