[tex] log_{3} (x^2-4)= log_{3} (6x-12)
log_{3} (x^2-4)= log_{3} (6x-12), [/tex]
unde x∈(2,+∞)
[tex]x^2-4=6x-12
(x-2)(x+2)=6(x-2)
(x-2)(x+2)-6(x-2)=0
(x-2)(x+2-6)=0
(x-2)(x-4)=0
\left \{ {{x-2=0} \atop {x-4=0}} \right.
x=2
x=4
[/tex]
unde x∈(2,+∞)
deci x=4
