Use Properties of Logarithms to Condense the Logarithmic Expression $\ln x + 5 \ln y$

question 178

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm
whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $\ln x + 5 \ln y$

• A) \(\ln x y ^ { 5 }\)
• B) \(\ln \frac { x } { y ^ { 5 } }\)
• C) \(\ln 5 x y\)
• D) \(\ln ( x + 5 y )\)

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Definitions:

Major Depressive Disorder

A mental health challenge signified by a perpetual state of despondence or a disconnection from pleasures, notably compromising daily operations.

Despondency

A state of low mood and aversion to activity, often associated with feelings of hopelessness and sadness.

Suicidal Thoughts

Thoughts about or an inclination towards ending one's own life.

Major Depressive Disorder

A mental disorder characterized by a persistent and intense feeling of sadness or despair and/or a loss of interest in activities, often accompanied by other symptoms such as changes in sleep, appetite, and energy level.