Solve the exponential equation. Express the solution set in terms of natural logarithms.
-$$\mathrm { e } ^ { 5 \mathrm { x } } = 8$$
A) $\left\{ \frac { \ln 8 } { 5 } \right\}$
B) $\left\{ \frac { \ln 5 } { 8 } \right\}$
C) $\left\{ \frac { 8 } { 5 } \mathrm { e } \right\}$
D) $\{ 5 \ln 8 \}$

Question

Quizplus · Accepted Answer

Taking the natural logarithm of both sides of the equation gives:
$$5x=\ln 8$$
$$\Rightarrow x=\frac{\ln 8}{5}$$
Thus, the solution set is $\left\{\frac{\ln 8}{5}\right\}$.

Solve the Exponential Equation e5x=8\mathrm { e } ^ { 5 \mathrm { x } } = 8e5x=8

Solve the Exponential Equation $\mathrm { e } ^ { 5 \mathrm { x } } = 8$