Question

решить систему 3^x*2^y=972 log корень из 3 (x-y)=2

Answer 1

$left { {{ 3^{x}* 2^{y} =972} atop {log{3}(x-y) =1}} right. left { {{ 3^{3+y}* 2^{y} =2} atop {x-y=3}} right. left { {{27* 3^{y}* 2^{y} =972} atop {x=3+y}} right. left { {{ 6^{y} = 6^{2} } atop {x=3+y left y=2 x=5$