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SMO 2025 Senior Round 1 Question 2

SMO · SMO 2025 Senior Round 1

Question 2

Suppose $2025\log_{2^{2025}}\sqrt{2025}+\dfrac{2}{\log_{\sqrt{2025}}2}=\log_2 M$. Find $M$.
  1. $\sqrt{2025}$
  2. $2025$
  3. $\sqrt{2025^3}$
  4. $2025^2$
  5. $2025^4$