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

question 59

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:

Analgesic Effect

The ability of a substance to reduce or eliminate pain without causing loss of consciousness, often attributed to drugs like analgesics or painkillers.

Opioid Receptor Sites

Specific areas in the brain and nervous system where opioid drugs bind, influencing pain perception and generating effects like pain relief, sedation, and euphoria.

Mu

The 12th letter of the Greek alphabet, often used in science and mathematics as a symbol for various quantities.

Deep Somatic Pain

A type of pain that originates from ligaments, tendons, bones, blood vessels, fasciae, and muscles, often described as dull or aching.