Condense the Expression to the Logarithm of a Single Quantity $\frac { 1 } { 2 } \left[ \log _ { 9 } ( x + 6 ) + 2 \log _ { 9 } ( x - 6 ) \right] - 12 \log _ { 9 } x$

question 180

Multiple Choice

Condense the expression to the logarithm of a single quantity. $\frac { 1 } { 2 } \left[ \log _ { 9 } ( x + 6 ) + 2 \log _ { 9 } ( x - 6 ) \right] - 12 \log _ { 9 } x$

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

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Definitions:

Test Statistic

A value calculated from sample data during a hypothesis test, used to make a decision about the relationship between variables or the acceptance of a hypothesis.

Test Statistic

A standardized value derived from sample data during a hypothesis test that is used to determine whether to reject the null hypothesis.

T Value

In statistical hypothesis testing, a value used in T-tests that compares the observed difference between two means relative to the spread or variability of their scores.

Test Statistic

A value calculated from sample data used to determine whether to reject the null hypothesis.