Simplify fully to a single logarithm: ${\log }_2\left(8\sqrt{x^3}\right)-\frac{1}{2}{\log }_2\left(x\right)$, assuming $x>0$.

${\log }_2\left(x\right)+3$

${\log }_2\left(\frac{8x^{\frac{3}{2}}}{\sqrt{x}}\right)$

${\log }_2\left(4x\right)$

${\log }_2\left(8x\right)$