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MathNet 2002 — Part 01 Question 186

Math Olympiad Vault · MathNet 2002 — Part 01

Question 186

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