Question

if x to the power 2 + y to the power 2=6xy.now prove that 2log(x+y)=logx+logy+3log2

Answer 1

x² + y² = 6 x y
x² + y² + 2 x y = 8 x y
=> (x+y)² = 8 x y
   =>  Log (x+y)² = Log (8 x y)
     =>  2 Log (x+y) = Log 8 + log x + log y
                             = Log 2^3  + log x + Log y
                             = 3 log 2 + log x + log y