Rewrite in Terms of Two or More Logarithms Using the Quotient

question 104

Multiple Choice

Rewrite in terms of two or more logarithms using the quotient and product rules for logarithms. Assume all variables
represent positive real numbers.
- $\log 17 \left( \frac { 5 \mathrm {~m} } { \mathrm { y } } \right)$

• A) \(\frac { \log _ { 17 } 5 + \log _ { 17 } \mathrm {~m} } { \log 17 \mathrm { y } }\)
• B) \(\log 175 - \log 17 m - \log 17 \mathrm { y }\)
• C) \(( \log 175 ) ( \log 17 \mathrm {~m} ) - \log 17 \mathrm { y }\)
• D) \(\log 175 + \log 17 m - \log 17 \mathrm { y }\)

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Definitions:

Total Profit

The overall financial gain made by a business after subtracting all costs from the total revenue generated from its operations.

AVC

Average Variable Cost; the total variable cost divided by the quantity of output produced.

ATC

Stands for "Average Total Cost," which refers to the total cost divided by the quantity of goods produced, in economics.

ATC Curve

Represents the average total cost of production at different levels of output, illustrating how cost per unit changes with changes in output.