# Using the principle of the mean-value theorem on the indicated interval, how do you find all numbers c that satisfy the conclusion of the theorem #f(x) = ln (x-1)#; [2, 6]?

##### 1 Answer

Sep 19, 2016

See below.

#### Explanation:

What does the conclusion of the Mean Value Theorem say?

There is a

#f'(c) = (f(6)-f(2))/(6-2)#

To find the

Set them equal to each other and solve the equation. Any (and all) solutions in

Solve