Question 68
Find the values of $x$ in $(0,\pi)$ satisfying
$$(\sqrt{2014}-\sqrt{2013})^{\tan^2x}+(\sqrt{2014}+\sqrt{2013})^{-\tan^2x}=2(\sqrt{2014}-\sqrt{2013})^3.$$
$$(\sqrt{2014}-\sqrt{2013})^{\tan^2x}+(\sqrt{2014}+\sqrt{2013})^{-\tan^2x}=2(\sqrt{2014}-\sqrt{2013})^3.$$