Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 146

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log \left[ \frac { 4 x ^ { 3 } \sqrt [ 4 ] { 3 - x } } { 10 ( x + 3 ) ^ { 2 } } \right]$

• A) \(\log 4 + 3 \log x + \frac { 1 } { 4 } \log ( 3 - x ) - \log 10 - 2 \log ( x + 3 )\)
• B) \(\log 4 + \log x ^ { 3 } + \log ( 3 - x ) ^ { 1 / 4 } - \log 10 - \log ( x + 3 ) ^ { 2 }\)
• C) \(\log \left( 4 x ^ { 3 } \sqrt [ 4 ] { 3 - x } \right) - \log \left( 10 ( x + 3 ) ^ { 2 } \right)\)
• D) \(\log 4 + 3 \log x + \frac { 1 } { 4 } \log ( 3 - x ) - \log 10 + 2 \log ( x + 3 )\)

Assess the effect of social class on various aspects of a person's life, including status inconsistency and social mobility.

Explore contemporary issues affecting social inequality, such as the digital divide, residential segregation, and homelessness.

Understand the concept of deviance and its societal implications.

Identify different societal responses to deviance across communities and historical periods.

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