Problem

Problem

Solve the equation 32log⁡4(x+2)3+3=log⁡4(4−x)3+log⁡4(x+6)3.\frac{3}{2} \log_4(x+2)^3 + 3 = \log_4(4-x)^3 + \log_4(x+6)^3.

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