Решите неравенство \({\log _{2x + 4}}{\left( {2x-3} \right)^2} \le 2{\log _{2x + 4}}\left( {x + 2} \right).\) \(x\in(-2;-\frac32)∪[\frac13;\frac32)∪(\frac32;5]\) \(x\in(-2;-\frac32]∪[\frac13;\frac32)∪(\frac32;5]\) \(x\in[-2;-\frac32)∪[\frac13;\frac32)∪(\frac32;5]\) \(x\in[-2;-\frac32]∪[\frac13;\frac32)∪(\frac32;5]\)

Задание

Решите неравенство \({\log _{2x + 4}}{\left( {2x-3} \right)^2} \le 2{\log _{2x + 4}}\left( {x + 2} \right).\)