Log(1/4) x² - ( Log(1/4) x )² =0 ;
ОДЗ: x >0
2Log(1/4) | x | - ( Log(1/4) x )² =0 ; ( x >0 ⇒| x | =x )
( Log(1/4) x )² - 2Log(1/4) x =0 ;
Log(1/4) x * ( Log(1/4) x -2) =0 ;
* * * [ Log(1/4) x =0 ; Log(1/4) x -2 =0 * * *
a) Log(1/4) x =0 ⇒ x =1;
b) Log(1/4) x -2 =0⇔ Log(1/4) x =2 ⇒ x = (1/4 )² =1/16.
ответ : { 1/16 ; 1} .