Use the Definition of a Logarithm to Solve Logarithmic Equations $$\ln \sqrt { x + 8 } = 7$$

question 257

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.
- $$\ln \sqrt { x + 8 } = 7$$

• A) \(\left\{ \mathrm { e } ^ { 14 } - 8 \right\}\)
• B) \(\left\{ \mathrm { e } ^ { 14 } + 8 \right\}\)
• C) \(\left\{ \frac { \mathrm { e } ^ { 7 } } { 2 } + 8 \right\}\)
• D) \(\left\{ e ^ { 7 } - 8 \right\}\)

---

Definitions:

Vulnerable Personality

A term describing individuals who are more susceptible to psychological distress, manipulation, or harm due to certain personality traits.

Drinking-group Values

The norms and beliefs held by a group of individuals regarding the consumption of alcohol.

Prealcoholic Stage

The initial phase in the development of alcoholism, characterized by occasional, social, or stress-related alcohol use that may escalate to dependency.

Drinking Group's Beliefs

The shared perceptions and values that members of a group who regularly consume alcohol together hold, particularly regarding the nature and effects of their drinking behaviors.