Logarithms Help

Let x,and y  be positive real numbers that satisfy:

$2 \log_x (2y) = 2 \log_{2x} (4z) = \log_{2x^4} (8yz) \neq 0$
The value of $xy^5 z$ can be expressed in the form $\frac{1}{2^{p/q}}$, where  and  are relatively prime positive integers. Find p+q.