Write the Expression as the Sum or Difference of Single $\log _ { 5 } \frac { \sqrt [ 4 ] { x } \sqrt [ 3 ] { y } } { z ^ { 2 } }$

question 30

Multiple Choice

Write the expression as the sum or difference of single logarithms.
- $\log _ { 5 } \frac { \sqrt [ 4 ] { x } \sqrt [ 3 ] { y } } { z ^ { 2 } }$

• A) \(\frac { 1 } { 4 } \log _ { 5 } x + \frac { 1 } { 3 } \log _ { 5 } y - 2 \log _ { 5 } z\)
• B) \(\frac { 4 } { 5 } \log _ { 5 } x + \frac { 3 } { 5 } \log _ { 5 } y - \frac { 2 } { 5 } \log _ { 5 } z\)
• C) \(\frac { 1 } { 4 } \log _ { 5 } x \cdot \frac { 1 } { 3 } \log _ { 5 } y \div 2 \log _ { 5 } z\)
• D) \(4 \log _ { 5 } x + 3 \log _ { 5 } y - 2 \log _ { 5 } z\)

---

Definitions:

Navigation Acts

were a series of laws passed by the British Parliament that regulated trade between England and its colonies, designed to ensure that trade enriched Britain.

Colonial Products

Goods and commodities that were traditionally produced in colonies, such as tea, sugar, coffee, and spices, often exploited for economic gain by colonial powers.

Yamasee War

The Yamasee War was a conflict between colonial South Carolina and several Native American tribes, including the Yamasee, in 1715-1717, partly due to disputes over trade and territory.

Indian Tribes

Indigenous groups in the United States, recognized as sovereign entities with their own governance and cultural practices.