Question

3^x *2^y = 144
log√2(y-x)=2

Answer 1

$left { {{3^x*2^y=144} atop {log_{ sqrt{2}}(y-x)=2 }} right.; ; ; y-x textgreater 0; ; ; y textgreater x\\ left { {{3^x*2^y=144} atop {y-x=( sqrt{2})^2 }} right.\\left { {{3^x*2^y=144} atop {y-x=2 }} right. \\left { {{3^x*2^y=144} atop {y=2+x }} right.\\3^x*2^{2+x}=144\3^x*2^2*2^x=144\(3^x*2^x)*4=144\3^x*2^x=36\6^x=6^2\x=2\y=2+2=4; ; ; (4 textgreater 2)$
Ответ: х=2; у=4

Answer 2

Спасибо огромное ❤