Question

$log_{3}(2x - 4) \leqslant \frac{1}{2}$
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Answer 1

$ODZ:\\\\2x-4>0\\\\2x>4\\\\x>2\\\\\\\log_{3}(2x-4)\leq\dfrac{1}{2}\\\\2x-4\leq\sqrt{3}\\\\2x\leq4+\sqrt{3}\\\\x\leq 2+\frac{\sqrt{3} }{2} \\\\Otvet:\boxed{x\in\Big(2 \ ; \ 2+\frac{\sqrt{3} }{2}\Big]}$