解下列不等式log1/2(3x-1)>log1/2(x+1)-1

问题描述:

解下列不等式log1/2(3x-1)>log1/2(x+1)-1

同解变形
3x-1>0 --(1)
x+1>0 --(2)
log1/2(3x-1)>log1/2(x+1)-1
可变为 :log1/2(3x-1)>log1/2(x+1)-log1/2(1/2)
==> log1/2(3x-1)>log1/2(x+1)*2
3x-1