Question

x^2+y^2=23xy then 2log(x+y)= ? with solution

Answer 1

$2log(x + y) \\ = log {(x + y)}^{2} \\ = log( {x}^{2} + {y}^{2} + 2xy) \\ = log(25xy) \\ =$

Answer 2

${x}^{2} + {y}^{2} = 23xy$
${x}^{2} + {y}^{2} + 2xy = 25xy$
${(x + y)}^{2} = 25xy$
take logarithms

$log(( {x + y)}^{2} ) = log(25xy)$
$2 log((x + y)) = log(25xy)$