Write as the Sum And/or Difference of Logarithms $\log _ { 12 } \sqrt { \frac { \mathrm { rs } } { 13 } }$

question 309

Multiple Choice

Write as the sum and/or difference of logarithms. Express powers as factors.
- $\log _ { 12 } \sqrt { \frac { \mathrm { rs } } { 13 } }$

• A) \(\frac { 1 } { 2 } \log _ { 12 } \mathrm { rs } - \frac { 1 } { 2 } \log _ { 12 } 13\)
• B) \(\frac { 1 } { 2 } \log _ { 12 } \mathrm { r } + \frac { 1 } { 2 } \log _ { 12 } \mathrm {~s} - \log _ { 12 } 13\)
• C) \(\frac { 1 } { 2 } \log _ { 12 } \mathrm { r } \cdot \frac { 1 } { 2 } \log _ { 12 } \mathrm {~s} + \frac { 1 } { 2 } \log _ { 12 } 13\)
• D) \(\frac { 1 } { 2 } \log _ { 12 } \mathrm { r } + \frac { 1 } { 2 } \log _ { 12 } \mathrm {~s} - \frac { 1 } { 2 } \log _ { 12 } 13\)

---

Definitions:

Defamation

A false statement presented as fact that causes injury or damage to the reputation of a person or entity, potentially leading to legal action.

Deceit

The action or practice of deceiving someone by concealing or misrepresenting the truth.

Trespass

An unlawful act of entering, or causing damage to, someone else's property without permission.

Internet Defamation

The act of damaging someone's reputation by making false statements about them online.