سلسلة المعادلات

solve

$Q1)2^{\frac{x+y}{3}}+2^{\frac{x+y}{6}}=6$

$x^{2}+5y^{2}=6xy$


$Q2)xy-x-y=5$

$2^{x-y}-(\frac{1}{2})^{x-y}=\frac{3}{2}$


$Q3)3^{x}5^{y}=75$

$ 3^{y}5^{x}=45$


$Q4)\log_{y}x+\log _{x}y=2$

$ x^{2}-y=20$


$Q5)5(\log_{y}x+\log _{x}y)=26$

$ xy=64$