Log7(6x-18)>log7(2x-2)

$\left \{ {{6x-18\ \textgreater \ 0} \atop {2x-2\ \textgreater \ 0}} \right. \\ \left \{ {{6x\ \textgreater \ 18} \atop {2x\ \textgreater \ 2}} \right. \\ \left \{ {{x\ \textgreater \ 3} \atop {x\ \textgreater \ 1}} \right. \\ x\ \textgreater \ 3\\ log_7(6x-18)\ \textgreater \ log_7(2x-2)\\ 6x-18\ \textgreater \ 2x-2\\ 4x\ \textgreater \ 16\\ x\ \textgreater \ 4$

Ответ x>4