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PT
$\Leftrightarrow 2\log ^{2}_{2}x-7\log _2x+3=0$
$\Leftrightarrow \left ( 2\log _2x-1 \right )\left ( \log _2x-3 \right )=0$
$\Leftrightarrow \left[ {\begin{matrix} \log _2x=1/2\\\log _2x=3 \end{matrix}} \right.$
$\Leftrightarrow \left[ {\begin{matrix}x=\sqrt 2\\x=8 \end{matrix}} \right.$
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