0} \atop {x-6>0}} \right. \; \; \left \{ {{x>-2} \atop {x>6}} \right. \; \to \; x>6\\\\lg(x+2)-lg(x-6)-lg5 \leq 0\\\\lg\, \frac{x+2}{5(x-6)} \leq lg1\\\\\frac{x+2}{5x-30} \leq 1\\\\\frac{x+2-5x+30}{5x-30} \leq 0\\\\\frac{-4(x-8)}{5(x-6)} \leq 0\\\\\frac{x-8}{x-6} \geq 0\; \; \; +++(6)---[8]+++\\\\x\in (-\infty,6)U[8,+\infty)-reshenie\frac{x-8}{x-6}>= 0" alt="lg(x+2)-lg5 \leq lg(x-6),\; \; \; OOF:\; \left \{ {{x+2>0} \atop {x-6>0}} \right. \; \; \left \{ {{x>-2} \atop {x>6}} \right. \; \to \; x>6\\\\lg(x+2)-lg(x-6)-lg5 \leq 0\\\\lg\, \frac{x+2}{5(x-6)} \leq lg1\\\\\frac{x+2}{5x-30} \leq 1\\\\\frac{x+2-5x+30}{5x-30} \leq 0\\\\\frac{-4(x-8)}{5(x-6)} \leq 0\\\\\frac{x-8}{x-6} \geq 0\; \; \; +++(6)---[8]+++\\\\x\in (-\infty,6)U[8,+\infty)-reshenie\frac{x-8}{x-6}>= 0" align="absmiddle" class="latex-formula">
Учитывая ООФ,
