Question

if x^2+y^2=10xy then prove that 2log (x-y)=3log +log X,+logy​

Answer 1

$\huge \bold {\red {\underline{ \underline{\mathfrak{ANSWER}}}}} \red{ :}$

$\star \: \underline \blue{solution} \blue{ : }$

${x}^{2} + {y}^{2} = 10xy$

$\longrightarrow \: {x}^{2} + {y}^{2} - 2xy = 8xy$

$\longrightarrow {(x + y)}^{2} = 8xy$

$\longrightarrow log {(x + y)}^{2} = log \: 8xy$

$\longrightarrow2 \: log \: (x + y) = log \: 8 + log \: x + log \: y$

$\longrightarrow \boxed {\mathfrak{2 \: log \: (x + y) = 3 \: log2 + log \: x + log \: y}}$

$\bold {\bold{\boxed {\boxed{///MARK \: IT \: BRAINLIEST///}}}}$