Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 119

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 19 } \left( \frac { \sqrt [ 3 ] { 10 } } { n ^ { 2 } m } \right)$

• A) \(\frac { 1 } { 3 } \log _ { 19 } 10 - 2 \log _ { 19 } n - \log _ { 19 } m\)
• B) \(3 \log _ { 19 } 10 - 2 \log _ { 19 } \mathrm { n } - \log _ { 19 } 3\)
• C) \(\frac { 1 } { 3 } \log _ { 19 } 10 - 2 \log _ { 19 } n - 2 \log _ { 19 } m\)
• D) \(\log _ { 19 } 10 - \log _ { 19 } n - \log _ { 19 } m\)

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Definitions:

The I

In sociology, refers to the subjective and spontaneous part of the self that represents personal responses and actions in social interaction.

The Me

A concept in sociology introduced by George Herbert Mead, referring to the social self or how individuals perceive themselves based on societal expectations.

Relations of Production

The relationships that exist in economic systems between those who own the means of production and those who sell their labor.

Capitalist System

An economic system where trade, industries, and the means of production are largely or entirely privately owned and operated for profit.