Write the Exponential Equation $e ^ { 5 / 2 } = 12.1825 \ldots$

question 3

Multiple Choice

Write the exponential equation $e ^ { 5 / 2 } = 12.1825 \ldots$ in logarithmic form.

• A) \(2.303 \log \left( \frac { 5 } { 2 } \right) = 12.1825 \ldots\)
• B) \(\log _ { 10 } ( 12.1825 \ldots ) = \frac { 5 } { 2 }\)
• C) \(\ln \left( \frac { 5 } { 2 } \right) = 12.1825 \ldots\)
• D) \(\ln ( 12.1825 \ldots ) = \frac { 5 } { 2 }\)
• E) \(\ln ( 5 ) = \frac { 12.1825 \ldots } { 2 }\)

---

Definitions:

Concrete Goal

A specific, measurable, and clearly defined objective or target.

Abstract Goal

A goal that is not concrete or specific, often related to ideas or concepts rather than tangible outcomes.

Growth

The process of increasing in size, maturity, or strength; also refers to personal development or improvement in skills and knowledge.

Security

The condition of being protected against physical or psychological harm or other types of danger; can also refer to measures taken to ensure this state.