Write the Logarithmic Expression as a Single Logarithm with Coefficient $6 \log _ { 7 } t - 4 \log _ { 7 } u - 5 \log _ { 7 } v$

question 62

Multiple Choice

Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as
possible.
- $6 \log _ { 7 } t - 4 \log _ { 7 } u - 5 \log _ { 7 } v$

• A) \(\log _ { 7 } \left( \frac { t ^ { 6 } v ^ { 5 } } { u ^ { 4 } } \right)\)
• B) \(\log _ { 7 } \left( \frac { 15 t v } { 2 u } \right)\)
• C) \(\log _ { 7 } \left( \frac { 3 t } { 10 u v } \right)\)
• D) \(\log _ { 7 } \left( \frac { t ^ { 6 } } { u ^ { 4 } v ^ { 5 } } \right)\)

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Definitions:

Satisfaction

The contentment one feels when one's needs, desires, or expectations are fulfilled or surpassed.

Diminishing Marginal Utility

A principle stating that as a consumer consumes more of a good or service, the utility (satisfaction) gained from each additional unit decreases.

Supply Curves

Graphical representations that show the relationship between the price of a good and the quantity of the good that producers are willing to supply.

Demand Curves

Graphical representations showing the relationship between the price of a product and the quantity of the product that consumers are willing and able to purchase.