Algebra · Exponential equations · Inequalities · Difference of powers · Convexity
Determine every positive integer \(n\) for which
\[ 5^n + 7^n + 11^n = 6^n + 8^n + 9^n . \]
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Serbian Regional Competition (Okruzno takmicenje) 2001, high school grade I, category A, problem 2. Organized by the Mathematical Society of Serbia (DMS). Source