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Solving a Logarithmic Inequality

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For which values of xx is the inequality ln⁡(x2−4)≤2\ln(x^2 - 4) \leq 2 satisfied?

A

−4+e2<x<−2  or  2<x<4+e2-\sqrt{4+e^{2}} < x < -2\ \text{ or }\ 2 < x < \sqrt{4+e^{2}}

B

x≤−2  or  x≥2x \leq -2\ \text{ or }\ x \geq 2

C

2<x<4+e22 < x < \sqrt{4+e^{2}}

D

−4+e2≤x<−2  or  2<x≤4+e2-\sqrt{4+e^{2}} \leq x < -2\ \text{ or }\ 2 < x \leq \sqrt{4+e^{2}}

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