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MathNet 2004 — Part 02 Question 96

Math Olympiad Vault · MathNet 2004 — Part 02

Question 96

Solve the equation:
$$
\log \left(\frac{1}{x}\right) \cdot \log \left(\frac{4}{x}\right) = \frac{3}{4} \cdot (\log 4)^2
$$