Find the Value or Values Of $c$ That Satisfy the Equation $\frac { f ( b ) - f ( a ) } { b - a } = f ^ { \prime } ( c )$

Multiple Choice

Find the value or values of $c$ that satisfy the equation $\frac { f ( b ) - f ( a ) } { b - a } = f ^ { \prime } ( c )$ in the conclusion of the Mean Value Theorem for the function and interval.
- $f ( x ) = \ln ( x - 1 ) , [ 2,4 ]$
Round to the nearest thousandth.

A) $2.820$
B) $3.885$
C) $3.820$
D) $\pm 2.820$