Question 124
Compute the number of positive real numbers $x$ that satisfy
$$
\left(3 \cdot 2^{\left\lfloor\log _{2} x\right\rfloor}-x\right)^{16}=2022 x^{13}
$$
$$
\left(3 \cdot 2^{\left\lfloor\log _{2} x\right\rfloor}-x\right)^{16}=2022 x^{13}
$$
Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)