Rewrite as a Single Logarithm $4 \log _ { 4 } ( 4 x + 2 ) + 3 \log _ { 4 } ( 5 x + 3 )$

question 62

Multiple Choice

Rewrite as a single logarithm. Assume all variables represent positive real numbers.
- $4 \log _ { 4 } ( 4 x + 2 ) + 3 \log _ { 4 } ( 5 x + 3 )$

• A) \(12 \log _ { 4 } ( 4 x + 2 ) ( 5 x + 3 )\)
• B) \(\log _ { 4 } \frac { ( 4 x + 2 ) ^ { 4 } } { ( 5 x + 3 ) ^ { 3 } }\)
• C) \(\log _ { 4 } \left( ( 4 x + 2 ) ^ { 4 } ( 5 x + 3 ) ^ { 3 } \right)\)
• D) \(\log _ { 4 } \left( ( 4 x + 2 ) ^ { 4 } + ( 5 x + 3 ) ^ { 3 } \right)\)

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Definitions:

Marginal Cost

The uptick in price resulting from the manufacture of an extra unit of a good or service.

Monopoly Firm

A company that is the sole provider of a product or service in a market, facing no competition.

Profit

The financial gain obtained when the revenues generated from business activities exceed the expenses, taxes, and costs.

Profit Maximization

A method used by firms to determine the best output and price levels in order to achieve the highest profit.