Write the Logarithm as a Sum or Difference of Logarithms $\log _ { 2 } \frac { p ^ { 5 } } { q ^ { 9 } }$

question 128

Multiple Choice

Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible.
- $\log _ { 2 } \frac { p ^ { 5 } } { q ^ { 9 } }$

• A) \(\frac { 5 } { 9 } \left( \log _ { 2 } p - \log _ { 2 } q \right)\)
• B) \(\frac { 5 } { 9 } \left( \log _ { 2 } p + \log _ { 2 } q \right)\)
• C) \(- 4 \left( \log _ { 2 } p - \log _ { 2 } q \right)\)
• D) \(5 \log _ { 2 } p - 9 \log _ { 2 } q\)

---

Definitions:

Innovator

An individual or entity that introduces new ideas, products, or methods, often driving changes and advancements within a particular sector or society at large.

Early Adopter

An individual or group that uses or purchases new products, innovations, or technologies soon after they are launched, before being adopted by the majority.

Innovations

The introduction of new ideas, methods, or products, which bring about change and can drive progress in various fields, including technology, medicine, and business.

Breakthroughs

Significant discoveries or achievements that facilitate major progress in a particular field.