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MathNet 2019-part-05 — 184 problems (EN–VI) Question 83

Math Olympiad Vault · MathNet 2019-part-05 — 184 problems (EN–VI)

Question 83

Determine all nonnegative integers $x, y, z$ which satisfy the equation
$$
2^x + 3 \cdot 11^y = 7^z.
$$