Question

Срочно! Вычислите систему уравнений. ​

Answer 1

$\left \{ {{5x^{log_{5} (x-y)} =1} \atop {3^{x}-3^{y} =6log_{2} 8}} \right. \left \{ {{x-y=1} \atop {3^{x}-3^{y} =6log_{2} 2^{3} }} \right. \left \{ {{x=1+y} \atop {3^{x}-3^{y} =18}} \right. \\3^{1+y} -3^{y} =18\\3^{y} =9\\y=2\\x=1+2=3\\(x;y)=(3;2)$