JEE Main 2007Annual, Paper 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002A value of ccc for which conclusion of Mean Value Theorem holds for the function f(x)=logexf\left( x \right) = {\log _e}xf(x)=logex on the interval [1,3]\left[ {1,3} \right][1,3] isAOption A. log3e{\log _3}elog3eBOption B. loge3{\log _e}3loge3COption C. 2 log3e2\,\,{\log _3}e2log3eDOption D. 12log3e{1 \over 2}{\log _3}e21log3eCheckSkip · show solution