Question

If x square+y square=10xy then show that 2log (x+y) =logx+ logy+ 2log2+ log3

Answer 1

Step-by-step explanation:

x^2+y^2=10xy

x^2+y^2+2xy=10xy+2xy

(x+y)^2=12xy

log on both sides

log(x+y)^2=log12xy

2log(x+y)=logx+logy+log4+log3

2log(x+y)=logx+logy+2log2+log3

hence it proved

I hope it helps you ☺️