0\\\\2)log_{2}x-1\neq0\Rightarrow log_{2}x\neq1\Rightarrow x\neq 2\\\\log_{2}x-\frac{2}{log_{2}x-1}\leq0\\\\log_{2}^{2}x-log_{2}x-2\leq0\\\\1)log_{2} x\geq-1\\\\x\geq0,5\\\\2)log_{2}x\leq2\\\\x\leq4\\\\Otvet:\boxed{x\in[0,5;2)\cup(2;4]}" alt="log_{2}x\leq\frac{2}{log_{2} x-1}\\\\ODZ:\\1)x>0\\\\2)log_{2}x-1\neq0\Rightarrow log_{2}x\neq1\Rightarrow x\neq 2\\\\log_{2}x-\frac{2}{log_{2}x-1}\leq0\\\\log_{2}^{2}x-log_{2}x-2\leq0\\\\1)log_{2} x\geq-1\\\\x\geq0,5\\\\2)log_{2}x\leq2\\\\x\leq4\\\\Otvet:\boxed{x\in[0,5;2)\cup(2;4]}" align="absmiddle" class="latex-formula">