Use the Definition of a Logarithm to Solve Logarithmic Equations $\log _ { 9 } \left( x ^ { 2 } - 8 x \right) = 1$

question 69

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.
- $\log _ { 9 } \left( x ^ { 2 } - 8 x \right) = 1$

• A) \(\{ 9 , - 1 \}\)
• B) \(\{ - 9,1 \}\)
• C) \(\{ 9 \}\)
• D) \(\{ 1 \}\)

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Definitions:

Sampling Distribution

Distribution probabilities of a given statistic, ascertained through random sampling.

Standard Deviation

An indicator of the extent of variability or spread within a collection of numbers, illustrating the degree to which these numbers diverge from one another in a dataset.

Normal Curve

A bell-shaped curve that represents the distribution of a set of data that is symmetrically distributed around the mean.

Binomial Random Variable

A random variable that follows a binomial distribution, representing the number of successes in a fixed number of binary experiments.