Express as the Logarithm of a Single Expression $$\log _ { 6 } 9 - \log _ { 6 } x$$

question 228

Multiple Choice

Express as the logarithm of a single expression. Assume that variables represent positive numbers.
- $$\log _ { 6 } 9 - \log _ { 6 } x$$

• A) \(\log _ { 6 } ( 9 - x )\)
• B) \(\log _ { 6 } \frac { x } { 9 }\)
• C) \(\log _ { 6 } \frac { 9 } { x }\)
• D) \(\log _ { 12 } \frac { 9 } { x }\)

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Definitions:

Chi-squared Distribution

A statistical distribution that describes the distribution of the sum of the squares of a set of variables that follow a normal distribution, commonly used in hypothesis testing.

Positively Skewed

A distribution shape where the tail is longer on the right side, indicating that the mean and median are greater than the mode.

Chi-squared Distribution

A probability distribution that describes the distribution of the sum of the squares of variables that are independently distributed according to a standard normal distribution.

Degrees of Freedom

The number of independent values or quantities that can vary in an analysis without violating any constraints.