Solve the Equation $$3 \mathrm { e } ^ { 2 \mathrm { x } } + 7 \mathrm { e } ^ { \mathrm { x } } = 20$$

question 457

Multiple Choice

Solve the equation. Give the answer in exact form.
- $$3 \mathrm { e } ^ { 2 \mathrm { x } } + 7 \mathrm { e } ^ { \mathrm { x } } = 20$$

• A) \(\left\{ \ln \frac { 3 } { 5 } \right\}\)
• B) \(\left\{ \ln \frac { 5 } { 3 } \right\}\)
• C) \(\left\{ \mathrm { e } ^ { 5 / 3 } , \mathrm { e } ^ { - 4 } \right\}\)
• D) \(\left\{ \ln \frac { 5 } { 3 } , \ln ( - 4 ) \right\}\)

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Definitions:

Conventional Stage

A phase in Lawrence Kohlberg's theory of moral development where individuals make judgments based on societal rules and norms.

Lawrence Kohlberg

A psychologist best known for his theory of stages of moral development, which proposes that individuals progress through distinct stages of moral reasoning as they age.

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The act of overcoming disorganization by eliminating unnecessary items and organizing what remains.

Transitional Expression

Words or phrases used to connect ideas, sentences, or paragraphs, helping to ensure coherence in writing.