Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 18

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 5 } \left( \frac { \sqrt [ 3 ] { p } \sqrt [ 4 ] { q } } { t ^ { 2 } } \right)$

• A) \(3 \log _ { 5 } p + 4 \log _ { 5 } q - 2 \log _ { 5 } t\)
• B) \(\frac { 1 } { 3 } \log _ { 5 } p + \frac { 1 } { 4 } \log _ { 5 } q - 2 \log _ { 5 } t\)
• C) \(\frac { 3 } { 5 } \log _ { 5 } p + \frac { 4 } { 5 } \log _ { 5 } q - \frac { 2 } { 5 } \log _ { 5 } t\)
• D) \(\frac { 1 } { 3 } \log _ { 5 } p \cdot \frac { 1 } { 4 } \log _ { 5 } q \div 2 \log _ { 5 } t\)

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Definitions:

Individualism

An ideology that supports the superiority of personal liberty rather than oversight by collective bodies or authorities.

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Clinical decision making that integrates the best available research with clinical expertise and patient characteristics and preferences.

Patient Preferences

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A psychotherapeutic treatment that helps patients understand the thoughts and feelings that influence behaviors.