Відповідь:

[tex]\left \{ {{x^{2} +y^{2}=2^{5} } \atop {2log_{2^{2} } (x)+log_{2}(y)=4 }} \right. \\\\\left \{ {{x^{2} +y^{2} =32} \atop {log_{2}(xy)=4 }} \right. \left \{ {{x^{2} +y^{2} } \atop {xy=2^{4} }} \right. \left \{ {{x^{2} +y^{2} } \atop {xy=16}} \right.( x_{1} ,y_{1} =(-4, -4); x_{2} ,y_{2} =(4,4))\\\\(x,y)=(4,4)[/tex]

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