Solve the equation. Give an exact solution.
-$\mathrm { e } ^ { 2 \mathrm { x } } = 5$
A) $2 \ln 5$
B) $\frac { 5 } { 2 } \mathrm { e }$
C) $\frac { \ln 5 } { 2 }$
D) $\frac { \ln 2 } { 5 }$

Question

Quizplus · Accepted Answer

To solve the equation $e^{2x} = 5$, take the natural logarithm of both sides to get $2x = \ln(5)$, then solve for $x$ to get $x = \frac{\ln(5)}{2}$.

Solve the Equation e2x=5\mathrm { e } ^ { 2 \mathrm { x } } = 5e2x=5

Solve the Equation $\mathrm { e } ^ { 2 \mathrm { x } } = 5$