Solve for $x$: ${\log }_2\left(x^2\right)-{\log }_2(x-1)=3$

• A. $x=4-\sqrt{2}$$x=4+\sqrt{2}$
• B. $x=4-2\sqrt{2}$$x=4+2\sqrt{2}$
• C. $x=4-2\sqrt{2}$ only
• D. $x=4+2\sqrt{2}$ only