Write as a Logarithm of a Single Expression $3 \log _ { 5 } 3 + \frac { 1 } { 7 } \log _ { 5 } ( r - 7 ) - \frac { 1 } { 2 } \log _ { 5 } r$

question 23

Multiple Choice

Write as a logarithm of a single expression.
- $3 \log _ { 5 } 3 + \frac { 1 } { 7 } \log _ { 5 } ( r - 7 ) - \frac { 1 } { 2 } \log _ { 5 } r$

• A) \(\log _5 \frac { 27 \sqrt [ 7 ] { r - 7 } } { \sqrt { r } }\)
• B) \(\log _5 \left( \frac { 3 } { 14 } \sqrt { \frac { r - 7 } { r } } \right)\)
• C) \(\log _ { 5 } \sqrt { \frac { 3 r - 21 } { 14 r } }\)
• D) \(\log _5 \frac { 27 r - 7 } { 14 r }\)

---

Definitions:

Personality Disorders

A category of psychological disorders identified by persistent unhealthy patterns of thought, action, and personal feeling, shown in various situations and significantly differing from the norms of the person's cultural background.

Inflexible Traits

Personality attributes that are rigid and do not easily adapt to changing circumstances or environments.

Distress

Emotional or physical suffering or pain that is often caused by extreme anxiety, sorrow, or pain.

Neurological Defects

Abnormalities in the structure or function of the brain, spinal cord, or other nerves, which can lead to various physical or cognitive impairments.