Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places,
for the solution.
-$3 \mathrm { e } ^ { \mathrm { x } } = 29$
A) $2.27$
B) $0.99$
C) $- 2.27$
D) $- 0.99$

Question

Quizplus · Accepted Answer

To solve the equation $3e^x = 29$, first divide both sides by 3 to get $e^x = \frac{29}{3}$. Then, take the natural logarithm of both sides to solve for $x$: $x = \ln\left(\frac{29}{3}\right)$. Using a calculator, this gives $x \approx 2.27$.

Solve the Exponential Equation 3ex=293 \mathrm { e } ^ { \mathrm { x } } = 293ex=29

Solve the Exponential Equation $3 \mathrm { e } ^ { \mathrm { x } } = 29$