Since the argument of a logarithm must be positive and \( x^2 - 4 = 8 > 0 \), both values are valid. However, the equation is satisfied by both. Since the question asks for *the* value, and no restriction on sign is given, we present the positive solution as standard unless otherwise specified. But both are mathematically correct. To match typical expectations, we provide the positive root. - go-checkin.com