![image](https://tex.z-dn.net/?f=+%5Cleft+%5C%7B+%7B%7B2%5E%7Bx%7D%5Ccdot+2%5E%7B-y%7D%3D%5Cfrac%7B1%7D%7B128%7D%7D+%5Catop+%7Blog_3x%2Blog_3y%3D2%2Blog_32%7D%7D+%5Cright.+%5C%3B++%5Cleft+%5C%7B+%7B%7B2%5E%7Bx-y%7D%3D2%5E7%7D+%5Catop+%7Blog_3%28xy%29%3Dlog_33%5E2%2Blog_32%7D%7D+%5Cright.+%5C%3B++%5Cleft+%5C%7B+%7B%7Bx-y%3D7%7D+%5Catop+%7Blog_3%28xy%29%3Dlog_318%7D%7D+%5Cright.+%5C%5C%5C%5C+%5Cleft+%5C%7B+%7B%7By%3Dx-7%7D+%5Catop+%7Bxy%3D18%7D%7D+%5Cright.+%5C%3B++%5Cleft+%5C%7B+%7B%7By%3Dx-7%7D+%5Catop+%7Bx%28x-7%29%3D18%7D%7D+%5Cright.+%5C%3B++%5Cleft+%5C%7B+%7B%7By%3Dx-7%7D+%5Catop+%7Bx%5E2-7x-18%3D0%7D%7D+%5Cright.+%5C%3B++%5Cleft+%5C%7B+%7B%7By_1%3D-9%2C%5C%3B+y_2%3D2%7D+%5Catop+%7Bx_1%3D-2%2C%5C%3B+x_2%3D9%7D%7D+%5Cright.+%5C%5C%5C%5CODZ%3A%5C%3B+%5C%3B+x%3E0%5C%3B+%2C%5C%3B+%5C%3B+y%3E0%5C%5C%5C%5COtvet%3A%5C%3B+%5C%3B+%289%2C2%29%5C%3B+.)
0\; ,\; \; y>0\\\\Otvet:\; \; (9,2)\; ." alt=" \left \{ {{2^{x}\cdot 2^{-y}=\frac{1}{128}} \atop {log_3x+log_3y=2+log_32}} \right. \; \left \{ {{2^{x-y}=2^7} \atop {log_3(xy)=log_33^2+log_32}} \right. \; \left \{ {{x-y=7} \atop {log_3(xy)=log_318}} \right. \\\\ \left \{ {{y=x-7} \atop {xy=18}} \right. \; \left \{ {{y=x-7} \atop {x(x-7)=18}} \right. \; \left \{ {{y=x-7} \atop {x^2-7x-18=0}} \right. \; \left \{ {{y_1=-9,\; y_2=2} \atop {x_1=-2,\; x_2=9}} \right. \\\\ODZ:\; \; x>0\; ,\; \; y>0\\\\Otvet:\; \; (9,2)\; ." align="absmiddle" class="latex-formula">