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MathNet 2022-part-06 — 196 problems (EN–VI) Question 124

Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)

Question 124

Compute the number of positive real numbers $x$ that satisfy
$$
\left(3 \cdot 2^{\left\lfloor\log _{2} x\right\rfloor}-x\right)^{16}=2022 x^{13}
$$