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:

Cognitive-Behavioural Technique

Strategies used within cognitive-behavioural therapy to help individuals change patterns of thinking or behavior that are causing them problems.

Activity Scheduling

A cognitive behavioral therapy technique involving the planning of positive activities to improve mood and reduce depression.

Exposure

A therapeutic technique used in treating anxiety disorders, involving gradual or direct confrontation with a feared situation, object, or thought without the intention to cause harm.