Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 96

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible.
- $$\log _83 ( x - 5 )$$

• A) \(\log _ { 8 } 3 + \log _ { 8 } ( x - 5 )\)
• B) \(\log _ { 8 } 3 + \log _ { 3 } ( x - 5 )\)
• C) \(\log _83 \cdot \log _ { 3 } ( x - 5 )\)
• D) \(\log _ { 8 } 3 \cdot \log _ { 8 } ( x - 5 )\)

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Definitions:

Price Floor

A government-imposed minimum price charged on goods and services, typically above equilibrium price to prevent market prices from dropping too low.

Consumer Surplus

The difference in the amount consumers would ideally pay for a service or good versus what they really spend.

Producer Surplus

The imbalance between the desired compensation by producers for a good or service and the real income they secure.

Binding Price Ceiling

A government-imposed limit on the price of a commodity or service that is set below the market equilibrium price, causing a shortage.