[latex]log _{4} ^{2} x+2log _{4} x-3=0[/latex]

ОДЗx>0[latex]log _{4} ^{2} x+2log _{4} x-3=0 \\t:=log_4x\\t^2+2t-3=0\\t_1=-3quadRightarrowquad log_4x=-3quadRightarrowquad x=4^{-3}= dfrac{1}{64} \\t_2=1quadRightarrowquad log_4x=1quadRightarrowquad x=4[/latex]