Question

If x2 +y2=25xy show that 2 log ( x+ y) = x+ log y+3 log 3..???...​

Answer 1

Hey Buddy

Here's The Answer

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Properties used :

1. log xʸ = y log x

2. log ( xy ) = log x + log y

Given :

x² + y² = 25xy

To Show

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

Now, solving L.H.S.

=> 2 log( x+y )

=> log ( x+y )²

by applying formula

=> log ( x² + y² + 2xy )

Now putting value of ( x² + y² = 25xy ), given in quest.

=> log ( 25xy + 2xy )

=> log ( 27xy )

=> log ( 3³ × xy )

=> log 3³ + log x + log y

=> 3 log 3 + log x + log y

Hence shown.

Hope it Helps.

Answer 2

Answer:

hyy

I'm Navdeep navi

ok

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