Rewrite the Equation in Terms of Base E $$y = 24 ( 2.1 ) ^ { x }$$

question 7

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.
- $$y = 24 ( 2.1 ) ^ { x }$$

• A) \(y = 24 \mathrm { e } ^ { x \ln 2.1 } , \mathrm { y } = 24 \mathrm { e } ^ { 0.742 \mathrm { x } }\)
• B) \(y = 2.1 \mathrm { e } ^ { x \ln 24 } , \mathrm { y } = 2.1 \mathrm { e } ^ { 3.178 \mathrm { x } }\)
• C) \(\mathrm { y } = 24 \mathrm { e } ^ { 2.1 \mathrm { x } } , \mathrm { y } = 242.718 ^ { 0.742 \mathrm { x } }\)
• D) \(\mathrm { y } = ( \ln 24 ) \mathrm { e } ^ { \mathrm { x } \ln 2.1 } , \mathrm { y } = 3.178 \mathrm { e } ^ { 0.742 \mathrm { x } }\)

---

Definitions:

Identification

A psychological process in which an individual associates themselves with certain groups, characteristics, values, or qualities of another person or entity.

Intellectualization

A defense mechanism where reasoning is used to block confrontation with an unconscious conflict and its associated emotional stress.

Sublimation

A defense mechanism where socially unacceptable impulses or idealizations are transformed into socially acceptable actions or behavior.

Withdrawal

The process of retreating or disengaging, either physically or emotionally, from a particular situation, substance, or interaction.