Question

If X square + y square is equal to 25 x y then prove that to log into X + y is equal to 3 lok 3 + log x + logy

Answer 1

Step-by-step explanation:

x²+y²=25xy

(x+y)²=x²+y²+2xy

(x+y)²=25xy+2xy

(x+y)²=27xy

Apply log on both sides

log(x+y)²=log(27xy)

2log(x+y)=log27+logx+logy

2log(x+y)=log3³+logx+logy

2log(x+y)=3log3+logx+logy

Hence proved