A value of c for which the conclusion of...

A value of c for which the conclusion of mean value theorm holds for the function`f (x) = log _(e) x` on the interval [1,3] is

A

`8 log _(3) e`

B

`(2)/( log _(e) 3)`

C

`log _(3) e`

D

`log _(e) 3`

Verified by Experts

Similar Questions

Explore conceptually related problems

Verify mean value theorem for the function f(x)=x+frac1x in the interval [1,3] .

Verify mean value theorem for the function f(x)=x^2-4x-3 in the interval [1,4] .

Verify mean value theorem for the function f(x)=(x-2)^2 in [1,4] .

Verify Mean Value Theorem for the function f(x)=x^2 in the interval [2,4]

Find the value of c in Lagrange's theorem for the function f(x) = log sin x in the interval [(pi)/(6), (5pi)/(6)] .

The range of the function f(x) = log_(e) (3x^(2) + 4) is equal to

Verify mean value theorem for each of the function f(x)=1/(4x-1) in [1,4].

The minimum value of the function f(x)=(1)/(sinx+cosx) in the interval [0,(pi)/(2)] is

The value of c in (0, 2) satisfying the mean value theorem for the function f(x) = x(x-1)^(2), x in [0, 2] is equal to