Write $5 \ln ( x + 7 ) - 3 \ln x - 4 \ln \left( x ^ { 2 } + 8 \right)$

question 81

Multiple Choice

Write $5 \ln ( x + 7 ) - 3 \ln x - 4 \ln \left( x ^ { 2 } + 8 \right)$ as a single logarithm with a coefficient of 1. Assume all variable expressions represent positive real numbers.

• A) \(\ln \left( x ^ { 3 } ( x + 7 ) ^ { 5 } \left( x ^ { 2 } + 8 \right) ^ { 4 } \right)\)
• B) \(\ln \left( \frac { 5 ( x + 7 ) } { 12 x \left( x ^ { 2 } + 8 \right) } \right)\)
• C) \(\ln \left( 60 x ( x + 7 ) \left( x ^ { 2 } + 8 \right) \right)\)
• D) \(\ln \left( - 4 x ^ { 2 } + 2 x + 3 \right)\)
• E) \(\ln \left( \frac { ( x + 7 ) ^ { 5 } } { x ^ { 3 } \left( x ^ { 2 } + 8 \right) ^ { 4 } } \right)\)

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Definitions:

Perceptual Map

A competitive analysis tool that creates a visual picture of product locations in consumers’ minds.

Competitive Analysis

The process of evaluating the strengths and weaknesses of competing entities or market competitors.

Geographic Segmentation

The process of dividing a market into different geographical units such as nations, states, regions, cities, or neighborhoods.

Lifestyle Segmentation

Segmentation that divides people into groups based on their opinions and the interests and activities they pursue.