Question

If if X square + Y square equal to 25 x y then prove that 2 log into X + Y = 3 log 3 + log x + log y ​

Answer 1

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The steps can be found in the picture attached.

Answer 2

x^2+y^2=25 xy

x^2+y^2+2xy=27xy

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

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

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

2log(x+y)=3log3+log x+ log y.