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JEE Math Practice Question

A value of $$c$$ for which conclusion of Mean Value Theorem holds for the function $$f\left( x \right) = {\log _e}x$$ on the interval $$\left[ {1,3} \right]$$ is

  1. A.$${\log _3}e$$
  2. B.$${\log _e}3$$
  3. C.$$2\,\,{\log _3}e$$
  4. D.$${1 \over 2}{\log _3}e$$

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