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MathNet 2022-part-04 — 197 problems (EN–VI) Question 63

Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)

Question 63

Let $x$ be a positive real number. What is the maximum value of
$$
\frac{2022 x^{2} \log (x+2022)}{(\log (x+2022))^{3}+2 x^{3}}
$$
?