Give the Answer in Exact Form $$4 \mathrm { e } ^ { 2 \mathrm { x } } + 9 \mathrm { e } ^ { \mathrm { x } } = 9$$

question 13

Multiple Choice

Give the answer in exact form.
- $$4 \mathrm { e } ^ { 2 \mathrm { x } } + 9 \mathrm { e } ^ { \mathrm { x } } = 9$$

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

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Definitions:

Disciplined

Being disciplined refers to showing a controlled form of behavior, often involving obeying rules or a strict regimen.

Antagonistic

Characterized by opposition or hostility towards others, often resulting in conflict or resistance.

Acquiescent

Willing to accept or agree to something without protest or objection.

Ruthless

Showing no pity or compassion for others; harsh or merciless in pursuit of goals, often at the expense of others.