Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places,
for the solution.
-$$\mathrm { e } ^ { 3 \mathrm { x } } = 5$$
A) $0.54$
B) $0.22$
C) $4.53$
D) $4.83$

Question

Quizplus · Accepted Answer

To solve the equation $e^{3x} = 5$, take the natural logarithm of both sides to get $3x = \ln(5)$. Then, divide both sides by 3 to isolate $x$, resulting in $x = \frac{\ln(5)}{3}$. Using a calculator, this gives approximately $x = 0.54$.

Solve the Exponential Equation e3x=5\mathrm { e } ^ { 3 \mathrm { x } } = 5e3x=5

Solve the Exponential Equation $\mathrm { e } ^ { 3 \mathrm { x } } = 5$