Write the Expression $5 \ln ( x ) + 2 \ln ( x + 3 ) - 5 \ln ( x - 3 )$

question 20

Multiple Choice

Write the expression $5 \ln ( x ) + 2 \ln ( x + 3 ) - 5 \ln ( x - 3 )$ as the logarithm of a single quantity.

• A) \(\ln ( 2 x + 21 )\)
• B) \(\ln \left[ \frac { 10 \left( x ^ { 2 } + x \right) } { 5 ( x - 3 ) } \right]\)
• C) \(\ln \left( x ^ { 5 } ( x + 3 ) ^ { 2 } ( x - 3 ) ^ { 5 } \right)\)
• D) \(\ln \left[ \frac { x ^ { 5 } ( x + 3 ) ^ { 2 } } { ( x - 3 ) ^ { 5 } } \right]\)
• E) \(\ln \left[ \frac { x ^ { 5 } } { ( x + 3 ) ^ { 2 } ( x - 3 ) ^ { 5 } } \right]\)

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Definitions:

Two-Way ANOVA

A statistical method employed to assess the impact of two categorical independent variables on a dependent variable that is continuous.

Levels

Distinct values or categories that a qualitative variable can take, often used in the context of experimental design and analysis.

Independent SRSs

Independent Simple Random Samples; a sampling technique where each subset of the population has an equal probability of being chosen, and the selections are made independently of each other.

Normally Distributed

Describing a data set where the observations are symmetrically distributed around the mean, forming a bell-shaped curve.