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MathNet 2014 Question 7

Math Olympiad Vault · MathNet 2014

Question 7

$$
x + \log_2 \left( 1 + \sqrt{\frac{5^x}{3^x + 4^x}} \right) = 4 + \log_{1/2} \left( 1 + \sqrt{\frac{25^x}{7^x + 24^x}} \right).
$$