Condense the Expression Below to the Logarithm of a Single $$4 [ \ln x - \ln ( x + 4 ) - \ln ( x - 4 ) ]$$

question 90

Multiple Choice

Condense the expression below to the logarithm of a single quantity.
$$4 [ \ln x - \ln ( x + 4 ) - \ln ( x - 4 ) ]$$

• A) \(\ln \left( x ^ { 4 } - \left( x ^ { 2 } - 16 \right) ^ { 4 } \right)\)
• B) \(\ln \left( x ^ { 4 } - ( x + 4 ) ^ { 4 } - ( x - 4 ) ^ { 4 } \right)\)
• C) \(\ln \frac { x ^ { 4 } } { x ^ { 2 } - 16 }\)
• D) \(\ln \left( \left( \frac { x } { x ^ { 2 } - 16 } \right) ^ { 4 } \right)\)
• E) \(\quad \ln \frac { x } { \left( x ^ { 2 } - 16 \right) ^ { 4 } }\)

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Definitions:

Base Year

A specific year against which economic or financial data is compared to measure changes and trends over time.

Price

The amount of money required to purchase a good, service, or asset.

Inflation

The speed at which prices for general goods and services go up, resulting in a decline in how much money can buy.

Economy's Overall Price Level

The average of current prices across the entire spectrum of goods and services available in the economy, indicating inflation or deflation trends.