Solve the Equation $$\frac { 1 } { 3 } \log _ { 2 } ( x + 6 ) = \log _ { 8 } ( 3 x )$$

question 95

Multiple Choice

Solve the equation.
- $$\frac { 1 } { 3 } \log _ { 2 } ( x + 6 ) = \log _ { 8 } ( 3 x )$$

• A) \(\varnothing\)
• B) \(\{ 3 \}\)
• C) \(\{ 3,0 \}\)
• D) \(\{ 9 \}\)

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Definitions:

Test Statistic

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

Hypothesis

A proposed explanation made on the basis of limited evidence as a starting point for further investigation.

Pooled Standard Error

A method to estimate the standard error across two or more samples by combining the individual standard deviations into a single measure, often used in t-tests.

Confidence Interval

A variety of values obtained from sample data that probably encompasses the value of an unspecified population characteristic.