Clarification Note:** Since \( \log_2(x^2 - 4) = 3 \) requires \( x^2 - 4 > 0 \Rightarrow x^2 > 4 \Rightarrow |x| > 2 \), both \( \pm 2\sqrt3 \approx \pm 3.464 \) satisfy this. However, the equation yields \( x^2 = 12 \), so both roots are valid. Depending on context, both may be acceptable. For a single boxed answer, we list the positive one: - Nelissen Grade advocaten