Solve the equation. Give an approximate solution to four decimal places.
-$$\mathrm { e } ^ { 2 \mathrm { x } } = 7$$
A) $\{ 3.8918 \}$
B) $\{ 0.0990 \}$
C) $\{ 0.9730 \}$
D) $\{ 9.5140 \}$

Question

Quizplus · Accepted Answer

To solve the equation $e^{2x} = 7$, take the natural logarithm of both sides to get $2x = \ln(7)$. Then, divide both sides by 2 to find $x = \frac{\ln(7)}{2}$. Using a calculator, this gives approximately $x = 0.9730$.

Solve the Equation e2x=7\mathrm { e } ^ { 2 \mathrm { x } } = 7e2x=7

Solve the Equation $\mathrm { e } ^ { 2 \mathrm { x } } = 7$