Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 34

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $$\log _ { 5 } \sqrt { 3 x }$$

• A) \(\log _ { 5 } \sqrt { 3 } + \log _ { 5 } \sqrt { x }\)
• B) \(\frac { 1 } { 2 } \log _ { 5 } 3 x\)
• C) \(\log _ { 5 } 3 + \frac { 1 } { 2 } \log _ { 5 } x\)
• D) \(\frac { 1 } { 2 } \log _ { 5 } 3 + \frac { 1 } { 2 } \log _ { 5 } x\)

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Definitions:

Per Capita GDP

The average economic output per person, calculated by dividing the country's Gross Domestic Product by its total population.

Population

The overall population within a designated region or nation.

GDP

The sum total of all goods and services created over a given period in a country, termed Gross Domestic Product, measures its economic achievements.

GDP

Gross Domestic Product is a calculation that reflects the economic success of a nation by summing the value of all produced goods and services within a certain time frame.