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) \{ \}

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Definitions:

Organic Chemistry

The branch of chemistry devoted to the study, understanding, and manipulation of carbon-containing compounds.

Major Organic Product

The primary product formed in the highest yield during an organic chemical reaction, determined by the reaction conditions and mechanism.

Reaction

A conversion process in which initial substances or reactants are turned into a different set of substances, known as products.

Organic Chemistry

A field of chemistry focused on understanding the structure, attributes, and reactions of carbon-containing organic compounds.