求不等式log1/2(x+1)≥log2(2x+1)的解集
人气:236 ℃ 时间:2019-12-29 15:17:44
解答
log1/2(x+1)
=[log2(x+1)]/log2(1/2)
=[log2(x+1)]/log2(2^-1)
=-log2(x+1)
=log2(x+1)^(-1)
=log2[1/(x+1)]
∴log1/2(x+1)≥log2(2x+1)
=>log2[1/(x+1)]≥log2(2x+1)
∴
{1/(x+1)≥2x+1
{x+1>0
{2x+1>0
解出-1/2
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