已知n是大于1的自然数,求证log n (n+1)>log n+1 (n+2)

问题描述:

已知n是大于1的自然数,求证log n (n+1)>log n+1 (n+2)
用高二的知识.

因为log(n+1)(n+2)+log(n+1)n=log(n+1)(n^2+2n)=2
所以 log(n+1)(n+2)