Answer: c) x = 5
Step-by-step explanation:
[tex]2\ log_3\ (x+4)-log_3\ 9=2\\\\2\ log_3\ (x+4)-log_3\ 3^2=2\\\\2\ log_3\ (x+4)-2=2\\\\2\ log_3\ (x+4)=4\\\\log_3\ (x+4)=2\\\\x + 4 = 3^2\\\\x+4=9\\\\\large\boxed{x=5}[/tex]