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📰 Question: A drug dosage model requires solving $ \log_2(x + 4) - \log_2(x - 1) = 3 $. Find the value of $ x $. 📰 Solution: Combine logs: $ \log_2\left(\frac{x + 4}{x - 1}\right) = 3 $. Rewrite in exponential form: $ \frac{x + 4}{x - 1} = 2^3 = 8 $. Solve: $ x + 4 = 8x - 8 \Rightarrow -7x = -12 \Rightarrow x = \frac{12}{7} $. Verify $ x > 1 $ to ensure validity. 📰 \boxed{\dfrac{12}{7}}Question: Find all angles $ \theta \in [0^\circ, 360^\circ] $ that satisfy $ 2\cos(2\theta) + 1 = 0 $, inspired by periodic patterns in environmental data trends. 📰 Awesome Ds Games 📰 Routing Number 121042882 📰 Ben 10 Characters 📰 This Forgotten System Still Controls 2005 Heres The Impossible Breakthrough 9990615 📰 Surface Laptop 6 For Business 📰 Verizon Wireless Murfreesboro 📰 1200 Calorie Meals Thatll Transform Your Bodyexpert Approved Plan Inside 5114699 📰 Length 28 3 19 669242 📰 Only The Clicker Paid Platform Lets You Turn Every Tap Into Pure Cash Today 274418 📰 Snape Headmaster 7385752 📰 This Simple Clock Image Holds The Secret To Mastering Timeshocked Viewers Online 6285971 📰 Paul Walker Filmology The Complete Universe Of His Iconic Movies Revealed 148834 📰 Sedonas Secret Hikes That Make Your Backpack Travel Light And Spirited 8033422 📰 Culture And Festivals 6472978 📰 How Much House Insurance Do I Need