2022 AIME II Problems/Problem 4
Problem
There is a positive real number 
not equal to either 
or 
such that![\[\log_{20x} (22x)=\log_{2x} (202x).\]](http://latex.artofproblemsolving.com/8/b/2/8b2d644c3c35696b97f664a77cacdd39b6995abf.png)
The value 
can be written as 
, where 
and 
are relatively prime positive integers. Find 
.
Solution
See Also
| 2022 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
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| All AIME Problems and Solutions | ||
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