(log₄3)²-log₄9*log₄6+(log₄6)²=
(log₄3)²-log₄3²*log₄6+(log₄6)²=
(log₄3)²-2log₄3*log₄6+(log₄6)²=
(log₄3-log₄6)²=(log₄(3:6))²=(log₄ ¹/₂ )²=
[tex](log_44^{-\frac{1}{2}})^2=(-\frac{1}{2}log_44})^2=(-\frac{1}{2})^2=\frac{1}{4}[/tex]