Problem

Holiday Contest 2025 - Guts Round - Set 1 Problem 2

Ulquiorra finds a mysterious circle with radius \log_{2024}(a^{6}). He then finds out that the circumference of the circle is \log_{2024}(b^{9}). If \log_{b}(a) can be represented as \frac{m}{n\pi}, where m and n are positive relatively prime integers, what is m+n?


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Problem Tags: Geometry Number theory

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