If xyn = 2(x + y)m + n , find the value of 

  1. x + y
  2. x - y

Answer (Detailed Solution Below)

Option 4 :
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Detailed Solution

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Concept:

log ( a + b ) = log a + log b

 

Calculation:

 xm y = 2(x + y)m + n 

Taking log on both sides , we get 

⇒ log(xyn) = log[2(x + y)m + n]

⇒ m log x + n log y = log 2 + (m + n) log (x + y)

 on differentiating both sides with respect to x , we get

⇒  +  =  [1 + ]

⇒  =  

⇒  = 

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