Solve the Equation $\log _ { 5 } x + \log _ { 5 } ( x + 6 ) = 1$

question 23

Multiple Choice

Solve the equation.
- $\log _ { 5 } x + \log _ { 5 } ( x + 6 ) = 1$

• A) \(- 1 + \sqrt { 14 }\)
• B) \(- 3 + \sqrt { 14 }\)
• C) \(3 + \sqrt { 14 }\)
• D) \(- 3 - \sqrt { 14 } , - 3 + \sqrt { 14 }\)

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Definitions:

Confidence Interval

A confidence interval is a range of values, derived from sample statistics, used to estimate the true value of a population parameter with a certain degree of confidence.

Normally Distributed

Describes a type of continuous probability distribution for a real-valued random variable where the data forms a symmetric, bell-shaped curve about the mean.

Variances Assumed

A condition in statistical analysis where it is presumed that the variances of two or more populations are equal, important in certain tests like ANOVA.

Independent Random Samples

Samples selected from a population in such a way that each individual has the same chance of being selected, and the selection of one individual does not affect the selection of another.