+63 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.
+1908 Here, this will help.
This problem is Problem 9 of the 2012 AIME I Problems.
Here is a link that gives the answer.
https://artofproblemsolving.com/wiki/index.php/2012_AIME_I_Problems/Problem_9
Hope this helps!
Thanks! :)
