Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 25

Multiple Choice

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

• A) \(\frac { 1 } { 3 } + \ln x\)
• B) \(\frac { 1 } { 3 } \ln \mathrm { e } + \frac { 1 } { 3 } \ln \mathrm { x }\)
• C) \(\frac { 1 } { 3 } + \frac { 1 } { 3 } \ln x\)
• D) \(\frac { 1 } { 3 } \ln ( e x )\)

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Definitions:

Simple Reflex

A basic, involuntary response to a stimulus that involves a simple neural pathway.

Secondary Circular Reaction

A developmental phase in infants characterized by repetitive actions aimed at reproducing desirable outcomes, crucial for cognitive development.

Scheme

An organized pattern of thought or behavior that organizes categories of information and the relationships among them.

Primary Circular Reaction

A repetitive action in early child development (around 1-4 months of age) where infants learn to coordinate sensory experiences with new motor activities, focusing mainly on their own bodies.