试比较loga(1+a)与loga(1+1/a)的大小

问题描述:

试比较loga(1+a)与loga(1+1/a)的大小

loga(1+1/a) = loga[(a + 1)/a] = loga(a + 1) - loga(a) = loga(1 + a) - 1
==>
loga(1+1/a)