Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 50

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $$\log _ { 5 } \sqrt { 3 x }$$

• A) \(\frac { 1 } { 2 } \log _ { 5 } 3 + \frac { 1 } { 2 } \log _ { 5 } x\)
• B) \(\log _ { 5 } \sqrt { 3 } + \log _ { 5 } \sqrt { x }\)
• C) \(\frac { 1 } { 2 } \log _ { 5 } 3 \mathrm { x }\)
• D) \(\log _ { 5 } 3 + \frac { 1 } { 2 } \log _ { 5 } x\)

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Definitions:

Emotion-Focused Coping

A method of dealing with stress by managing emotions rather than confronting the problem directly.

Problem-Focused Coping

Attempting to alleviate stress directly—by changing the stressor or the way we interact with that stressor.

Emotion-Focused Coping

A strategy for managing stress by working to change one’s emotional response to a stressor rather than changing the stressor itself.

Mindfulness Meditation

A practice of concentrated focus upon a sound, object, visualization, the breath, movement, or attention itself in order to increase awareness of the present moment, reduce stress, promote relaxation, and enhance personal and spiritual growth.