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Đk : $a > 0,\,\,a \ne 1,\,\,x > 1$
$(1) \Leftrightarrow {\log _a}x\left( {x - 1} \right) > 2$
Xét $2$ trường hợp$\,\,\,a > 1,\,$hoặc $0 < a < 1$
ĐS:$1)a > 1:\,\,\,\,\,x > \frac{{1 + \sqrt {1 + 4{a^2}} }}{2}$
$2)\,0 < a < 1:\,\,\,\,\,\,1 < x < \frac{{1 + \sqrt {1 + 4{a^2}} }}{2}$
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