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Question: Answered & Verified by Expert
The number of real roots of equation $log_ex+e x=0$ is
MathematicsBasic of MathematicsWBJEEWBJEE 2015
Options:
  • A 0
  • B 1
  • C 2
  • D 3
Solution:
1731 Upvotes Verified Answer
The correct answer is: 1
We have, $\log _{e} x+e x=0$
$\log _{e} x=-e x$
Since, both the graphs intersect at only one since.

Hence, the number of real roots of equation is one

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