Решите неравенство \({\log _{x + 2}}\left( {{x^2}-5x + 1} \right) \le {\log _{\frac{{4x + 5}}{{5x + 6}}}}1.\) \(x\in(-2;-\frac54)∪(-\frac65;-1)∪[0;\frac{5-\sqrt{21}}{2})∪(\frac{5+\sqrt{21}}{2});5]\) \(x\in(-2;-\frac54)∪[-\frac65;-1)∪[0;\frac{5-\sqrt{21}}{2})∪(\frac{5+\sqrt{21}}{2});5]\) \(x\in(-2;-\frac54)∪(-\frac65;-1)∪[0;\frac{5-\sqrt{21}}{2})∪[\frac{5+\sqrt{21}}{2});5]\) \(x\in(-2;-\frac54)∪[-\frac65;-1)∪[0;\frac{5-\sqrt{21}}{2})∪[\frac{5+\sqrt{21}}{2});5]\)

Задание

Решите неравенство \({\log _{x + 2}}\left( {{x^2}-5x + 1} \right) \le {\log _{\frac{{4x + 5}}{{5x + 6}}}}1.\)

\(x\in(-2;-\frac54)∪(-\frac65;-1)∪[0;\frac{5-\sqrt{21}}{2})∪(\frac{5+\sqrt{21}}{2});5]\)
\(x\in(-2;-\frac54)∪[-\frac65;-1)∪[0;\frac{5-\sqrt{21}}{2})∪(\frac{5+\sqrt{21}}{2});5]\)
\(x\in(-2;-\frac54)∪(-\frac65;-1)∪[0;\frac{5-\sqrt{21}}{2})∪[\frac{5+\sqrt{21}}{2});5]\)
\(x\in(-2;-\frac54)∪[-\frac65;-1)∪[0;\frac{5-\sqrt{21}}{2})∪[\frac{5+\sqrt{21}}{2});5]\)