The correct option is: x = 1
Explanation:
Although there are two solutions to the equation are given: -8 and +1, the true solution will be the one that satisfies the given equation. If we put "-8" into the equation [tex]log_2(x) + log_2(x+7) = 3[/tex], the equation will not satisfy as the log of the negative number does not exist. If we put "+1" in the above equation, we would get "3" as an answer, meaning the true solution exists.
Hence the correct option is "x=1"