Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 144

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { b } \left( \frac { x y ^ { 7 } } { z ^ { 2 } } \right)$

• A) \(\log _ { \mathrm { b } } \mathrm { x } + 7 \log _ { \mathrm { b } } \mathrm { y } - 2 \log _ { \mathrm { b } } \mathrm { z }\)
• B) \(\log _ { \mathrm { b } } \mathrm { x } + \log _ { \mathrm { b } } \mathrm { y } ^ { 7 } - \log _ { \mathrm { b } } \mathrm { z } ^ { 2 }\)
• C) \(\log _ { \mathrm { b } } \mathrm { x } + \log _ { \mathrm { b } } \mathrm { y } ^ { 7 } + \log _ { \mathrm { b } ^ { \mathrm { z } } } 2\)
• D) \(\log _ { \mathrm { b } } \mathrm { x } + 7 \log _ { \mathrm { b } } \mathrm { y } + 2 \log _ { \mathrm { b } } \mathrm { z }\)

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Definitions:

Integrated Self

A psychological concept referring to an individual's achievement of a unified sense of self, where various aspects of the self are harmoniously combined.

Gestalt Therapy

This therapeutic approach stresses the importance of personal accountability, concentrating on the patient's current experiences, the dynamics between patient and therapist, the role of the individual's social and environmental settings, and the natural adjustments individuals enact in response to their life situations.

Emotional Burden

The weight of feelings one carries, often resulting from stress, trauma, or the challenges of daily life, affecting mental health.

Integrated Behavioral Couple Therapy (IBCT)

A form of therapy that focuses on accepting the differences between partners and working on strategies to improve the relationship.