\[\begin{array}{l} {\text{Решите неравенство:}}\\ {\log _7}\frac{3}{x} + {\log _7}\left( {{x^2} - 7x + 11} \right) \le {\log _7}\left( {{x^2} - 7x + \frac{3}{x} + 10} \right) \end{array}\]