For positive real numbers x and y, let f(x, y)=x^{\log _2 y}. The sum of the solutions to the equation
4096 f(f(x, x), x)=x^{13}
can be written in simplest form as \frac{m}{n}. Compute m+n.
For positive real numbers x and y, let f(x, y)=x^{\log _2 y}. The sum of the solutions to the equation
4096 f(f(x, x), x)=x^{13}
can be written in simplest form as \frac{m}{n}. Compute m+n.