Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 43

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
- $\log _ { 4 } \left( \frac { 16 } { x } \right)$

• A) \(8 - \log _ { 4 } x\)
• B) \(- 2 \log _ { 4 } x\)
• C) \(2 - \log _ { 4 } x\)
• D) \(\frac { 2 } { x }\)

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Definitions:

Family Therapy

A form of psychotherapy that aims to reduce distress and conflict by improving the systems of interactions between family members.

Individual Therapy

A form of psychotherapy in which a therapist works one-on-one with a client to explore their feelings, beliefs, and behaviors, work through challenging or influential memories, identify aspects of their lives that they would like to change, better understand themselves and others, set personal goals, and work toward desired change.

Couples Therapy

Couples therapy is a type of psychotherapy that helps partners in intimate relationships address issues, improve communication, and strengthen their relationship.

Psychoanalysis

A therapeutic approach and theory of psychopathology, originated by Sigmund Freud, focusing on unconscious processes and unresolved past conflicts.