Question

x square plus y square is equal to 27 x y prove that log into x minus 4 by 5 is equal to 1 by 2 into log x + log y​

Answer 1

Answer:

Step-by-step explanation:

x^2 + y^2 = 27xy

=> x^2 + y^2 + 2xy = 25xy

=> ( x + y )^2 = 25xy

=> x + y = 5 (xy)^1/2

now ,

log ( x + y ) = log { 5 (xy)^1/2 }

=> log ( x + y ) = log 5 + log (xy)^1/2

=> log ( x + y ) - log 5 = 1/2 log xy

=> log ( x + y / 5 ) = 1/2 log xy [ Proved ]

Answer 2

Step-by-step explanation:

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