Solve the Equation and Express the Solution in Exact Form $$\ln ( 2 x - 1 ) + \ln ( x - 5 ) = \ln 5$$

question 446

Multiple Choice

Solve the equation and express the solution in exact form.
- $$\ln ( 2 x - 1 ) + \ln ( x - 5 ) = \ln 5$$

• A) \(\varnothing\)
• B) \(\left\{ 5 , \frac { 5 } { 2 } \right\}\)
• C) \(\left\{ \frac { 11 } { 2 } \right\}\)
• D) \(\left\{ 0 , \frac { 11 } { 2 } \right\}\)

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Definitions:

Significant Differences

Statistical evidence that two or more groups have values that are not likely to be the same purely by chance.

Two-Tailed Tests

Statistical tests that consider both directions of effect, allowing for the exploration of non-specific hypotheses.

One-Tailed Tests

Statistical hypothesis tests that determine the significance of an observed effect only in one direction, either greater than or less than a specified value.

Rejection Region

The portion of the sampling distribution of a statistic that leads to the rejection of the null hypothesis.