question_answer

A value of c for which the conclusion of mean value theorem holds for the function \[f(x)=lo{{g}_{e}}x\] on the interval [1, 3] is ________.

A)  \[lo{{g}_{3}}e\]                       

B)  \[2\,\,lo{{g}_{3}}e\]

C)  \[{{\log }_{e}}3\]                     

D)  \[\frac{1}{2}\,\,{{\log }_{e}}3\]

E)  None of these