Use Properties of Logarithms to Condense the Logarithmic Expression $2 \ln a - 9 \ln b$

question 233

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.
- $2 \ln a - 9 \ln b$

• A) \(\ln \frac { a ^ { 2 } } { b ^ { 9 } }\)
• B) \(\frac { \ln a ^ { 2 } } { \ln b ^ { 9 } }\)
• C) \(\ln \left( \frac { \mathrm { a } } { \mathrm { b } } \right) ^ { 11 }\)
• D) \(\ln \frac { 2 a } { 9 b }\)

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Definitions:

Market Equilibrium

A situation where the quantity of a good or service demanded equals the quantity supplied, leading to a stable market price.

Sunglasses

Eyewear created to shield the eyes from the harmful effects and discomfort caused by intense sunlight and high-energy visible light.

Surplus

The situation in which the quantity supplied of a good or service exceeds the quantity demanded at the current price.

Bags Of Pretzels

Not a standard economic key term, often used as an example in contextual scenarios about goods.