Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 263

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 3 } \left( \frac { 27 } { x } \right)$

• A) \(3 - \log _ { 3 } x\)
• B) \(9 - \log _ { 3 } x\)
• C) \(\frac { 3 } { 2 }\)
• D) \(- 3 \log _ { 3 } x\)

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Definitions:

Large Request

A significant or considerable demand or appeal made by one party to another.

Lowball Technique

A persuasion strategy where an initially favorable offer is made, only to have the terms change unfavorably once initial commitment is secured.

Compliance

The tendency to agree to do things requested by others, often to conform with social norms or expectations.

Reciprocity Norm

A social norm suggesting that people should return the help they have received from others, creating a system of mutual cooperation and support.