2012 AIME I Problems/Problem 9
Problem 9
Let 
and 
be positive real numbers that satisfy
![\[2\log_{x}(2y) = 2\log_{2x}(4z) = \log_{2x^4}(8yz) \ne 0.\]](http://latex.artofproblemsolving.com/0/0/4/0040698f1dfdbbb5d2fe34839edc567e8818e9ae.png)
The value of 
can be expressed in the form 
where 
and 
are relatively prime positive integers. Find 
Solution
See also
| 2012 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 8 |
Followed by Problem 10 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
