Consider the equation ${\left({\log }_{2}x\right)}^2-4{\log }_2\mathrm{x}-{\mathrm{m}}^2-2\mathrm{m}-13=0$ in the variable x, ‘m’ being a parameter $(\mathrm{m}\in \mathrm{R})$.

 Let the real roots of the equation be ${\mathrm{x}}_1,{\mathrm{x}}_2\text{ where }{\mathrm{x}}_1<{\mathrm{x}}_2$