Use the Properties of Logarithms to Rewrite the Expression $$\log _ { 4 } \left( \frac { 4 \sqrt { 6 } } { 7 } \right)$$

question 73

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent
positive real numbers.
- $$\log _ { 4 } \left( \frac { 4 \sqrt { 6 } } { 7 } \right)$$

• A) \(\log _ { 4 } 4 + \sqrt { \log _ { 4 } 6 } - \log _ { 4 } 7\)
• B) \(\log _ { 4 } 4 + \frac { 1 } { 2 } \log _ { 4 } 6 - \log _ { 4 } 7\)
• C) \(\left( \log _ { 4 } 4 \right) \left( \frac { 1 } { 2 } \log _ { 4 } 6 \right) - \log _ { 4 } 7\)
• \(\frac { \log _ { 4 } 4 + \frac { 1 } { 2 } \log _ { 4 } 6 } { \log _ { 4 } 7 }\)

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Definitions:

Ineffective Coping

An inability to use appropriate and effective strategies to manage personal stress, leading to further psychological or health issues.

Acute Mania

A state of heightened mood, energy, and activity levels, often associated with bipolar disorder, that can significantly impair judgment and behavior.

Bipolar Disorder

A mental disorder characterized by periods of depression and periods of elevated mood or mania.