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MathNet 2021 — Part 04 Question 61

Math Olympiad Vault · MathNet 2021 — Part 04

Question 61

Find all real triples $(a, b, c)$ satisfying
$$(2^{2a} + 1)(2^{2b} + 2)(2^{2c} + 8) = 2^{a+b+c+5}.$$