Determine Whether or Not $x = \frac { 1 } { 3 } \left( e ^ { - 2 } + 1 \right)$

True/False

Determine whether or not $x = \frac { 1 } { 3 } \left( e ^ { - 2 } + 1 \right)$ is a solution to $\ln ( 3 x - 1 ) = - 2$ .