$\text { Solve the following equation for } x \text {. }$

Multiple Choice

$\text { Solve the following equation for } x \text {. }$ $- 5 + 7 e ^ { 3 x } = 10$

A) $x = \frac { 1 } { 3 } \ln \frac { 15 } { 7 }$
B) $x = - \frac { 1 } { 3 } \ln \frac { 15 } { 7 }$
C) $x = \frac { 15 } { 7 e ^ { 3 } }$
D) $x = - \frac { 1 } { 3 } \ln \frac { 50 } { 7 }$
E) $x = \frac { 1 } { 3 } \ln \frac { 50 } { 7 }$