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NDA2019MathematicsBasics of MathematicsActual

If x^ 7^x 7 where x 0 , then which one of the following is correct?

Options

  1. Ax (0, )
  2. Bx ( 1 7 , 7 )
  3. Cx (0, 1 7 ) (7, )
  4. Dx ( 1 7 , )

Correct answer

C. x (0, 1 7 ) (7, )

Step-by-step solution

x^ ₇^x 7 ; x 0 taking log both sides ₇^x x 7 aligned & x 7 x 7 & ( x)^2 ( 7)^2 & ( x)^2-( 7)^2 0 & ( x+ 7)( x- 7) 0 & x= 1 7 , 7 aligned x (0, 1 7 ) (7, )

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