Write the Expression as a Single Logarithm with Coefficient 1 $a \neq 1 \text { and } b \neq 1$

question 452

Multiple Choice

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers with $a \neq 1 \text { and } b \neq 1$ .
- $\frac { 1 } { 3 } \log _ { 3 } \left( x ^ { 6 } \right) + \frac { 1 } { 6 } \log _ { 3 } \left( x ^ { 6 } \right) - \frac { 1 } { 9 } \log _ { 3 } x$

• A) \(\log _ { 3 } \left( x ^ { 7 } \right)\)
• B) \(\frac { 7 } { 9 } \log _ { 3 } \left( \mathrm { x } ^ { 12 } \right)\)
• C) \(\log _ { 3 } \left( x ^ { 26 / 9 } \right)\)
• D) \(\log _ { 3 } \left( x ^ { 9 / 2 } \right)\)

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Definitions:

Interactive Dialogue

A reciprocal communication process in which participants exchange information, feelings, and meaning through verbal and non-verbal messages.

Narrative Therapists

Practitioners of a therapeutic approach that seeks to help patients identify their values and the skills associated with them in order to live these values so they can effectively confront current and future problems.

Dominant Discourses

The prevalent narratives or ways of thinking in a given society that shape perceptions, behaviors, and policies.

Dialogue of Discovery

A conversational process in therapy where the therapist and client explore issues, values, and perspectives to uncover insights and solutions.