Use the Properties of Logarithms to Rewrite the Expression $\log _ { 2 } ( 9 x + 9 y )$

question 170

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { 2 } ( 9 x + 9 y )$

• A) \(\log _ { 2 } 81 x y\)
• B) \(\left( \log _ { 2 } 9 x \right) \left( \log _ { 2 } 9 y \right)\)
• C) \(\log _ { 2 } ( 9 x + 9 y )\)
• D) \(\log _ { 2 } 9 x + \log _ { 2 } 9 y\)

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Definitions:

EOQ

The Economic Order Quantity is a formula used to determine the optimal order quantity that minimizes total inventory costs, including ordering and holding costs.

Demand Increase

A rise in the quantity of a product or service that consumers are willing and able to purchase at a given price.

Order Quantity

Order quantity is the specific number of units requested or purchased in a single order, often considered in inventory and supply chain management.

Economic Order Quantity

A calculation used to determine the optimal order quantity that minimizes the total costs associated with inventory, including holding and ordering costs.