Difference between revisions of "2016 AIME II Problems/Problem 3"
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Revision as of 19:07, 17 March 2016
Problem 3
Let and be real numbers satisfying the system Find the value of .
==Solution First, we get rid of logs by taking powers: , , and . Adding all the equations up and using the property, we have , so we have . Solving for by substituting for in each equation, we get , so adding all the absolute values we have .
Solution by Shaddoll