Use the Laws of Logarithms to Expand the Expression $\ln \left( \frac { x + 5 } { x - 6 } \right) ^ { 1 / 2 }$

question 46

Multiple Choice

Use the laws of logarithms to expand the expression. $\ln \left( \frac { x + 5 } { x - 6 } \right) ^ { 1 / 2 }$

• A) \(\frac { 1 } { 2 } \ln \left( \frac { x + 5 } { x - 6 } \right)\)
• B) \(\frac { 1 } { 2 } \ln [ ( x + 5 ) ( x - 6 ) ]\)
• C) \(\frac { 1 } { 2 } \ln \left( x - \frac { 5 } { 6 } \right)\)
• D) \(\frac { 1 } { 2 } \ln ( x + 5 ) - \frac { 1 } { 2 } \ln ( x - 6 )\)

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Definitions:

Significance Levels

A threshold chosen by the researcher which determines the probability of rejecting a true null hypothesis, often denoted by alpha (α).

Major Defects

Significant flaws or imperfections in a product or system that can affect its functionality or performance adversely.

P-Value

P-Value is a statistical measure indicating the probability of obtaining test results at least as extreme as the results actually observed, assuming that the null hypothesis is true.

Extrasensory Perception

A claimed ability to gain information through means other than the known human senses.