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) \(\ln \frac { 2 a } { 9 b }\)

---

Definitions:

Constitutionality

Refers to whether a law or governmental action is in accordance with the Constitution.

Stare Decisis

A legal principle that obligates courts to follow the precedents set by previous decisions in similar cases.

Jurisprudence

The study or theory of law aimed at understanding the origins, principles, and structures of legal systems and their impact on society.

Universal Truths

Fundamental concepts or facts that are considered true and apply in all situations and cultures.