0000:00:00:00:00Start19Number 19ExplanationThe solution set of the inequality log12(2x−1)+log12(2−x)≥2log12x\log_{\frac{1}{2}}(2x - 1) + \log_{\frac{1}{2}}(2 - x) \geq 2 \log_{\frac{1}{2}} xlog21(2x−1)+log21(2−x)≥2log21x is....23≤x≤1\frac{2}{3} \leq x \leq 132≤x≤1x≤23x \leq \frac{2}{3}x≤32 or x≥1x \geq 1x≥112<x≤23\frac{1}{2} < x \leq \frac{2}{3}21<x≤32 or 1≤x<21 \leq x < 21≤x<212≤x≤23\frac{1}{2} \leq x \leq \frac{2}{3}21≤x≤32 or 1≤x≤21 \leq x \leq 21≤x≤2x≤12x \leq \frac{1}{2}x≤21 or x>2x > 2x>2
19Number 19ExplanationThe solution set of the inequality log12(2x−1)+log12(2−x)≥2log12x\log_{\frac{1}{2}}(2x - 1) + \log_{\frac{1}{2}}(2 - x) \geq 2 \log_{\frac{1}{2}} xlog21(2x−1)+log21(2−x)≥2log21x is....23≤x≤1\frac{2}{3} \leq x \leq 132≤x≤1x≤23x \leq \frac{2}{3}x≤32 or x≥1x \geq 1x≥112<x≤23\frac{1}{2} < x \leq \frac{2}{3}21<x≤32 or 1≤x<21 \leq x < 21≤x<212≤x≤23\frac{1}{2} \leq x \leq \frac{2}{3}21≤x≤32 or 1≤x≤21 \leq x \leq 21≤x≤2x≤12x \leq \frac{1}{2}x≤21 or x>2x > 2x>2
