Solve the equation \[\frac{3}{2} \log _{4}(x+2)^{2}+3=\log _{4}(4-x)^{3}+\log _{4}(x+6)^{3} \tex...

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Solve the equation \[\frac{3}{2} \log _{4}(x+2)^{2}+3=\log _{4}(4-x)^{3}+\log _{4}(x+6)^{3} \text {. }\]
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