Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 32

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log ( 100 x )$

• A) \(2 \log x\)
• B) \(2 x\)
• C) \(2 + \log \mathrm { x }\)
• D) \(20 + \log x\)

---

Definitions:

Northern Factories

Industrial manufacturing entities located in the northern part of the United States, particularly prominent during the Industrial Revolution and the Civil War era.

Wage Slaves

Individuals who are seen as bound to their employment due to the necessity of earning wages to meet basic living expenses, with minimal options to pursue other opportunities.

Slave-based Economy

An economic system heavily reliant on the forced labor of enslaved individuals, particularly prevalent in historical contexts such as in the Southern United States before the Civil War, where agriculture was the dominant sector.

Liberty

Being unrestrained in society by authoritative sanctions on one's personal behavior, way of life, or political views.