0} \atop {x<6, \ x\ne6}} \right.\quad => \quad x\in(-\infty;-5)\\\\\bf OTBET: \ x\in(-\infty;-6]" alt="log__{6-x}}(\frac{x+5}{x-6})^{12}\ge-12\\\\12log__{6-x}}\frac{x+5}{x-6}}\ge-12\\\\log__{6-x}}\frac{x+5}{x-6}}\ge-1\\\\log__{6-x}}\frac{x+5}{x-6}}\ge log__{6-x}}(6-x)^{-1}\\\\\frac{x+5}{x-6}\ge\frac{1}{6-x}\\\\\frac{(x+5)(6-x)}{x-6}\ge1\\\\-(x+5)\ge1\\\\x\le-6\\\\OD3:\\\left \{ {{\frac{x+5}{x-6}}>0} \atop {x<6, \ x\ne6}} \right.\quad => \quad x\in(-\infty;-5)\\\\\bf OTBET: \ x\in(-\infty;-6]" align="absmiddle" class="latex-formula">