Y=log3(x^2-3)-log3x найти область определения

Решите задачу:

$y=log_3(x^2-3)-log_3x\\\\OOF:\; \; \left \{ {{x^2-3\ \textgreater \ 0} \atop {x\ \textgreater \ 0}} \right. \; \left \{ {{(x-\sqrt3)(x+\sqrt3)\ \textgreater \ 0} \atop {x\ \textgreater \ 0}} \right. \; \left \{ {{x\in (-\infty,-\sqrt3)U(\sqrt3,+\infty)} \atop {x\in (0,+\infty)}} \right. \; \to \\\\\to \; \; x\in (\sqrt3,+\infty)$