Question

If x^2+y^2=10xy prove that 2log{x+y}=logx +logy+ 2log2 +log3

Answer 1

Answer:

Step-by-step explanation:

x^2+y^2=10xy

2log{x+y} = logx +logy+ 2log2 +log3

LHS=2log{x+y}

=log(x+y)²

=log ( x²+y²+2xy

=log(10xy+2xy)=log(12xy)

=log( xy*4*3)

=log x+log y log 4+log 3

=log x+ log y+log 2²+log 3

=log x+ log y+2log 2+log 3=RHS