Write the Logarithmic Expression as a Single Logarithm with Coefficient $$\frac { 1 } { 2 } [ 6 \ln ( x - 3 ) + \ln x - 2 \ln x ]$$

question 135

Multiple Choice

Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as
possible.
- $$\frac { 1 } { 2 } [ 6 \ln ( x - 3 ) + \ln x - 2 \ln x ]$$

• A) \(\ln \left[ \frac { ( x - 3 ) ^ { 3 } } { x } \right]\)
• B) \(\ln \left[ \frac { ( x - 3 ) ^ { 6 } } { 2 x } \right]\)
• C) \(\ln \left[ \frac { ( x - 3 ) ^ { 3 } } { \sqrt { x } } \right]\)
• D) \(\ln \left[ \frac { \sqrt { x } ( x - 3 ) ^ { 3 } } { 2 x } \right]\)

---

Definitions:

Jazz Players

Musicians specialized in playing jazz, a genre of music characterized by swing and blue notes, complex chords, and call and response vocals.

Brain Activity

The electrical and chemical processes occurring within the brain that enable thoughts, feelings, movements, and bodily functions.

Self-efficacy

An individual's belief in their innate ability to achieve goals. It influences how people think, motivate themselves, and behave.

Coping Abilities

The skills, methods, and mechanisms a person uses to handle, manage, and endure stress and adversity in an effective manner.