Solve the Equation $e ^ { 2 x } - 3 e ^ { x } - 10 = 0$

question 95

Multiple Choice

Solve the equation. Write the solution set with the exact values given in terms of natural or common
logarithms. Also give approximate solutions to 4 decimal places, if necessary.
- $e ^ { 2 x } - 3 e ^ { x } - 10 = 0$ ; use natural logarithms

• A) \(\{ \ln 5 \} ; x \approx 1.6094\)
• B) \(\{ \ln 5 , - \ln 2 \} ; x \approx 1.6094\) or \(- 0.6931\)
• C) \(\{ \ln 5 , \ln ( - 2 ) \} ; x \approx 1.6094\) or \(- 0.6931\)
• D) \{ \}

---

Definitions:

Median Number

The middle value in a set of numbers, arranged in ascending or descending order.

Lifetime

The period during which an organism exists, from birth to death, or the duration of an object or concept's existence.

Homosexual Behavior

Actions that involve sexual activity between individuals of the same sex.

Primates

An order of mammals that includes humans, apes, monkeys, and prosimians, characterized by large brains, forward-facing eyes, and opposable thumbs.