Use the Definition of a Logarithm to Solve Logarithmic Equations $$\log _ { 6 } ( x - 1 ) = - 3$$

question 252

Multiple Choice

Use the Definition of a Logarithm to Solve Logarithmic Equations
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic
expressions. Give the exact answer.
- $$\log _ { 6 } ( x - 1 ) = - 3$$

• A) \(\left\{ \frac { 217 } { 216 } \right\}\)
• B) \(\left\{ - \frac { 215 } { 216 } \right\}\)
• C) \(\left\{ \frac { 217 } { 729 } \right\}\)
• D) \(\left\{ - \frac { 215 } { 729 } \right\}\)

Analyze the effects of market entry and exit on industry supply conditions.

Apply concepts of average variable cost, average total cost, and marginal cost in decision-making processes.

Understand the relationship between price, marginal revenue, and optimal output levels.

Explain the impacts of cost changes on industry equilibriums and firm decisions.

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