Express as a Single Logarithm $\left( \log _ { a } x - \log _ { a } y \right) + 5 \log _ { a } z$

question 215

Multiple Choice

Express as a single logarithm.
- $\left( \log _ { a } x - \log _ { a } y \right) + 5 \log _ { a } z$

• A) \(\log _ { a } \frac { x } { z ^ { 5 } y }\)
• B) \(\log _ { a } \frac { 5 x z } { y }\)
• C) \(\log _ { \mathrm { a } } \frac { \mathrm { xz } 5 } { \mathrm { y } }\)
• D) \(\log _ { a } x z ^ { 5 } y\)

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Definitions:

Economic Profit

The surplus remaining after total costs (both explicit and implicit) are deducted from total revenue, reflecting the true profitability of a firm.

ATC

Average Total Cost, which is the total cost divided by the quantity of output produced, reflecting the cost per unit of output.

Pure Monopolist

A market structure where a single seller dominates the market, with no rivals, supplying a unique product without close substitutes.

Pure Monopolist

A pure monopolist is a market participant that is the sole provider of a product or service, thus controlling the entire supply and influencing price without competition.