Solve the Logarithmic Equation $$\ln \sqrt { x + 5 } = 2$$

question 31

Multiple Choice

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.
- $$\ln \sqrt { x + 5 } = 2$$

• A) \(\left\{ e ^ { 4 } - 5 \right\}\)
• B) \(\left\{ \mathrm { e } ^ { 4 } + 5 \right\}\)
• C) \(\left\{ \frac { \mathrm { e } ^ { 2 } } { 2 } + 5 \right\}\)
• D) \(\left\{ \mathrm { e } ^ { 2 } - 5 \right\}\)

Recognize the impact and development of bronze metallurgy.

Identify specialized labor in ancient civilizations.

Comprehend the significance of legal and administrative systems in ancient empires.

Trace the evolution of political systems across different civilizations.

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Definitions:

Conclusion

The statement that logically follows from the premises in an argument.

Explanations

Statements or accounts that make a subject or situation clear to the listener or reader.

Arguments

Reasons given in proof or rebuttal to persuade others that an action or belief is right or wrong.

Conditional Statements

Logical statements that have an "if-then" structure, specifying conditions and the outcomes if those conditions are met.