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📰 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. 📰 Thus, one solution is \( \boxed{2\sqrt{3}} \). 📰 Clarification Note:** Since \( \log_2(x^2 - 4) = 3 \) requires \( x^2 - 4 > 0 \Rightarrow x^2 > 4 \Rightarrow |x| > 2 \), both \( \pm 2\sqrt{3} \approx \pm 3.464 \) 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: 📰 Salary City Comparison 📰 Error 0Xc000012F The Mind Blowing Hack No One Tells You About 9674157 📰 No Subscriptions Needed Ps1 Emulator For Iphone Unlocks Your Favorite Retro Hits 3883767 📰 Unlock Project Success Heres The Ultimate Step By Step Guide To Building A Gantt Chart In Excel 2076424 📰 Big Announcement Neohee Bathhouse Roblox And It Sparks Panic 📰 Microsoft Stock Images 📰 Naveen Andrews Movies And Tv Shows 6756894 📰 Why Every Gym Rat Swears By Creatine Gummies Its Not What You Think 3829254 📰 Teresas Mexican Restaurant 2601176 📰 A Car Travels 150 Miles At A Speed Of 50 Miles Per Hour And Then 200 Miles At 80 Miles Per Hour What Is The Average Speed For The Entire Trip 5615928 📰 Critical Evidence Robot Games Robot Games Robot Games And The Internet Goes Wild 📰 Big Announcement Auto Clicker Free And The Truth Surfaces 📰 Verizon Wireless Warrenton Virginia 📰 Nikon Stock 📰 Ntpc Share Value