Question

if x square +y square =25xy then prove that 2log (x+y)=3log cube+logx+logy

Answer 1

x^2 + y^2 = 25xy

2log (x+y) = 3log 3 + logx + log y

log (x+y)^2 = 3log 3 + logx + log y
log (x^2 +y^2 + 2xy ) = 3log 3 + logx + log y

now, substitute the value for x^2 + y^2

log (25xy + 2xy) = 3log 3 + logx + log y
log 27 xy = 3log 3 + logx + log y

log 27 + log x + log y = 3log 3 + logx + log y
log 3^3 + log x + log y= 3log 3 + logx + log y

3 log 3 +log x + log y = 3log 3 + logx + log y

Answer 2

hope it helps you ..........