Use the Laws of Logarithms to Write the Expression as the Logarithm

question 107

Multiple Choice

Use the laws of logarithms to write the expression as the logarithm of a single quantity.
$4 \ln 3 - \frac { 3 } { 4 } \ln ( x + 3 )$

• A) \(\ln \frac { 81 } { ( x + 3 ) ^ { 3 / 4 } }\)
• B) \(\frac { 3 \ln 81 } { 4 ( x + 3 ) }\)
• C) \(\ln 3 ^ { 4 } - \ln ( x + 3 ) ^ { 3 / 4 }\)
• D) \(\frac { 4 \ln 3 } { \frac { 3 } { 4 } \ln ( x + 3 ) }\)

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Definitions:

Utility Function

A mathematical model used in economics to represent a consumer's preference ranking for different bundles of goods, showing satisfaction levels.

Consumption

The act of using goods and services to satisfy needs or wants.

Income

Financial gain derived from various sources such as employment, investments, or proprietorship, contributing to an individual's wealth.

Price

The monetary cost anticipated, called for, or disbursed in payment for an object.