Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 37

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 6 } \left( \frac { 6 } { x } \right)$

• A) \(1 - \log _ { 6 } x\)
• B) \(\frac { 1 } { x }\)
• C) \(- \log _ { 6 } x\)
• D) 6

---

Definitions:

Equilibrium

A state of balance or stability arising from the equal action of opposing forces.

Self-reinforcement

Administering rewards or punishments to oneself for meeting, exceeding, or falling short of one’s own expectations or standards.

Conscience

An inner feeling or voice viewed as a guide to the rightness or wrongness of one's behavior.

Superego

In Freudian psychoanalysis, the part of the psyche that acts as a moral center, incorporating the values and norms of society and acting as a counterbalance to the id.