Rewrite the Exponential Equation $5 ^ { - 3 } = \frac { 1 } { 125 }$

question 47

Multiple Choice

Rewrite the exponential equation $5 ^ { - 3 } = \frac { 1 } { 125 }$ in logarithmic form.

• A) \(\log _ { 5 } 125 = - 3\)
• B) \(\log _ { 125 } 5 = - 3\)
• C) \(\log _ { 3 } 125 = - 3\)
• D) \(\log _ { 5 } \frac { 1 } { 125 } = - 3\)
• E) \(\log _ { 5 } \frac { 1 } { 125 } = 3\)

---

Definitions:

Coping Skills

Techniques or methods used by individuals to manage stress, adversity, or emotions, enabling the navigation through difficult situations effectively.

Work Rate

The efficiency and speed at which an individual or machine performs a task or duty.

Selective Optimization

A strategy of focusing on and maximizing strengths or opportunities, while minimizing weaknesses or losses, often used in developmental psychology.

Compensation

Payment or reward given for service, achievement, harm, or loss, often pertaining to employment or legal restitution.