对数函数问题 证明单调性

2024-12-17 05:06:16
推荐回答(1个)
回答1:

(1+x)/(1-x)>0
(1+x)(1-x)>0
(x+1)(x-1)<0
-1y=log(a,(1+x)/(1-x))=log(a,1+x)-log(a,1-x)
当a>1在-1log(a,1+x)递增
log(a,1-x)递减
-log(a,1-x)递增
y=log(a,1+x)-log(a,1-x)递增
当0log(a,1+x)递减
log(a,1-x)递增
-log(a,1-x)递减
y=log(a,1+x)-log(a,1-x)递减