解不等式log2 [(2x+2)/(1-2x)]>log2 [(1+x)/k] 且k∈R+
问题描述:
解不等式log2 [(2x+2)/(1-2x)]>log2 [(1+x)/k] 且k∈R+
答
解析,
(2x+2)/(1-2x)>0,(1+x)/k>0
故,-11/k
整理得,x>(1-2k)/2,
当(1-2k)/2≤-1,即是,k≥3/2时,解集为,-1