Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the
solution.
-$$e ^ { 5 x } = 8$$
A) $\{ 0.42 \}$
B) $\{ 10.40 \}$
C) $\{ 0.20 \}$
D) $\{ 4.35 \}$

Question

Quizplus · Accepted Answer

To solve the equation $e^{5x} = 8$, take the natural logarithm of both sides to get $5x = \ln(8)$. Then, solve for $x$ by dividing both sides by 5: $x = \frac{\ln(8)}{5}$. Using a calculator, $x \approx 0.42$.

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

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