Rewrite the Equation in Terms of Base E $$y = 2 ( 7 ) ^ { x }$$

question 265

Multiple Choice

Rewrite the equation in terms of base e. Express the answer in terms of a natural logarithm, and then round to three
decimal places.
- $$y = 2 ( 7 ) ^ { x }$$

• A) \(\mathrm { y } = 2 \mathrm { e } ^ { \mathrm { x } \ln 7 } , \mathrm { y } = 2 \mathrm { e } ^ { 1.946 \mathrm { x } }\)
• B) \(y = 7 e ^ { x } \ln 2 , y = 7 e ^ { 0.693 x }\)
• C) \(\mathrm { y } = 2 \mathrm { e } ^ { 7 \mathrm { x } } , \mathrm { y } = 22.718 ^ { 1.946 \mathrm { x } }\)
• D) \(\mathrm { y } = ( \ln 2 ) \mathrm { e } ^ { \mathrm { x } \ln 7 } , \mathrm { y } = 0.693 \mathrm { e } ^ { 1.946 \mathrm { x } }\)

---

Definitions:

Sex Education Programs

Educational initiatives designed to provide individuals, especially adolescents, with information on sexual health, relationships, and responsibilities.

Hyde and DeLamater

Scholars known for their contributions to the study of human sexuality and social psychology.

Promotion of Chastity

Advocacy or actions aimed at encouraging abstinence from sexual activity outside of marriage or for moral reasons.

Avenues of Family Communication

Various methods or channels through which family members share information, express emotions, and resolve conflicts.