Assume That X, Y and C Are Positive Numbers $\log _ { c } x ^ { 6 } y ^ { 4 }$

question 203

Multiple Choice

Assume that x, y and c are positive numbers.Use the properties of logarithms to write the expression $\log _ { c } x ^ { 6 } y ^ { 4 }$ in terms of the logarithms of x and y.

• A) \(6 \log _ { c } x + 4 \log _ { c } y\)
• B) \(24 \log _ { c } x + y\)
• C) \(6 \log _ { c } x + 6 \log _ { c } y\)
• D) \(24 \log _ { c } x + 4 \log _ { c } y\)
• E) \(6 \log _ { c } x + 24 \log _ { c } y\)

---

Definitions:

Social Change

is the transformation over time of cultural values, norms, institutions, and structures within a society, often driven by collective behavior, technology, economic shifts, or policies.

Anti-Smoking Laws

Legislation and policies enacted to reduce tobacco consumption by banning smoking in public spaces and regulating the sale and advertisement of tobacco products.

Terrorism

The use of violence and intimidation, especially against civilians, in the pursuit of political goals.

Political End

The ultimate goal or objective that a political action, policy, or movement aims to achieve.