1)ОДЗ
5x-4>0⇒5x>4⇒x>0,8
log(4)(5x-4)≠1⇒5x-4≠4⇒5x≠8⇒x≠1,6
x∈(0,8;1,6) U (1,6;≈)
(log(4)(5x-4))²-log(4)(5x-4)-3+log(4)(5x-4)-1=0
(log(4)(5x-4))²--4=0
(log(4)(5x-4) -2)(log(4)(5x-4) +2)=0
log(4)(5x-4) =2⇒5x-4=16⇒5x=20⇒x=4
log(4)(5x-4) =-2⇒5x-4=1/16⇒5x=4 1/16⇒x=65/80=13/16