用放缩法证明不等式用放缩法证明Loga(a-1)loga(a+1)2.

问题描述:

用放缩法证明不等式
用放缩法证明Loga(a-1)loga(a+1)2.

Loga(a-1)loga(a+1)
=lg(a-1)/lga*lg(a+1)/lga
=lg(a-1)lg(a+1)/(lga)^2
因为a>2,所以lg(a-1)和lg(a+1)均大于0,所以lg(a-1)*lg(a+1)