Rewrite in Terms of Two or More Logarithms Using the Quotient

question 126

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.
- $\log _ { 3 } \left( \frac { x y } { 4 } \right)$

• A) \(\left( \log _ { 3 } x \right) \left( \log _ { 3 } y \right) \div \log _ { 3 } 4\)
• B) \(\log _ { 3 } x + \log _ { 3 } y + \log _ { 3 } 4\)
• C) \(\log _ { 3 } x + \log _ { 3 } y - \log _ { 3 } 4\)
• D) \(\left( \log _ { 3 } x \right) ^ { 2 } + \left( \log _ { 3 } y \right) ^ { 2 } - \log _ { 3 } 4\)

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Definitions:

<90/60

Indicates blood pressure readings lower than 90 millimeters of mercury systolic and 60 millimeters of mercury diastolic, which is considered hypotension.

Quantity Demanded

The total amount of a good or service that consumers are willing and able to purchase at a given price in a specified time period.

Quantity Supplied

The amount of a good or service that producers are willing and able to sell at a given price in a specified period.

Increase in Demand

A situation where there is a rise in the quantity of a product or service that consumers are willing and able to buy at given prices.