Problem

Problem

Solve the equation log⁡2(3−x)−log⁡2(sin⁡3π45−x)=12+log⁡2(x+7).\log_2(3-x) - \log_2 \left( \frac{\sin \frac{3\pi}{4}}{5-x} \right) = \frac{1}{2} + \log_2(x+7).

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