Question

The value of c for which in [1,3], f(x) = log_ex holds mean value theorem is-

• A. 2 log₃e
• B. $\frac{1}{2}$log_e3
• C. log₃e
• D. log_e3

Answer 1

Answer: (A)

2 log₃e

Answer 2

By LMVT, f'(3) = $\frac{f(3)–f(1)}{2}$̃ $\frac{1}{c}$= $\frac{\log_{e}3}{2}$

̃ c = 2 log₃e