Solve the equation. Give an exact solution.
-$$e ^ { 4 x } = 7$$
A) $\left\{ \frac { \ln 4 } { 7 } \right\}$
B) $\left\{ \frac { \ln 7 } { 4 } \right\}$
C) $\{ 4 \ln 7 \}$
D) $\left\{ \frac { 7 } { 4 } \mathrm { e } \right\}$

Question

Quizplus · Accepted Answer

To solve the equation $e^{4x} = 7$, take the natural logarithm (ln) of both sides to get $4x = \ln(7)$. Then, solve for $x$ by dividing both sides by 4, resulting in $x = \frac{\ln(7)}{4}$.

Solve the Equation e4x=7e ^ { 4 x } = 7e4x=7

Solve the Equation $e ^ { 4 x } = 7$