NDA2019MathematicsBasics of MathematicsActual
If x^ 7^x 7 where x 0 , then which one of the following is correct?
Options
- Ax (0, )
- Bx ( 1 7 , 7 )
- Cx (0, 1 7 ) (7, )
- 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, )