Consider the Equation ${\left({\log }_2\mathrm{x}\right)}^2-4{\log }_2\mathrm{x}-{\mathrm{m}}^2-2\mathrm{m}-13=0$ in the variable x, 'm' being a parameter (m$\in$R) let the real roots of the equation be x₁, x₂ where x₁ < x₂