meili 发表于 2022-10-27 15:34:16

已知x满足2(log2x)^2+7log2x+3小于等于0,求x的取值范围.

<p>问题:已知x满足2(log2x)^2+7log2x+3小于等于0,求x的取值范围.
<p>答案:↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">史震的回答:<div class="content-b">网友采纳  设log2x=t  2t^2+7t+3≤0  (2t+1)(t+3)≤0  -3≤t≤-1/2  -log28≤log2x≤-log2√2  log21/8≤log2x≤-log2√2/2  ∵底数>1  ∴1/8≤x≤√2/2
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