Question 2
There is a unique positive real number $x$ such that the three numbers $\log_8(2x),$ $\log_4 x,$ and $\log_2 x,$ in that order, form a geometric progression with positive common ratio. The number $x$ can be written as $\frac{m}{n},$ where $m$ and $n$ are relatively prime positive integers. Find $m + n.$