Use the Definition of a Logarithm to Solve Logarithmic Equations $$\log _ { 4 } ( x + 2 ) - \log _ { 4 } x = 2$$

question 78

Multiple Choice

Use the Definition of a Logarithm to Solve Logarithmic Equations
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic
expressions. Give the exact answer.
- $$\log _ { 4 } ( x + 2 ) - \log _ { 4 } x = 2$$

• A) \(\left\{ \frac { 2 } { 15 } \right\}\)
• B) \(\{ 4 \}\)
• C) \(\left\{ \frac { 1 } { 8 } \right\}\)
• D) \(\left\{ \frac { 15 } { 2 } \right\}\) ){

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Definitions:

Independent Event

An independent event is an event whose outcome is not influenced by the outcome of another event; in probability, this means that the occurrence of one event does not change the probability of another.

Standardized Z Values

Values resulting from the standardization process that measures the number of standard deviations a data point is from the mean of its distribution.

Probability

An evaluation of event occurrence likelihood, represented as a numerical value ranging between 0 and 1.

Standard Normal Table

A reference table that provides the area under the curve of the standard normal distribution, often used to find probabilities and critical values.