+79 Let x, y, and z 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 p and q are relatively prime positive integers. Find p+q.
