Use the Properties of Logarithms to Rewrite the Expression $\log _ { 3 } ( 10 x + 8 y )$

question 220

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent
positive real numbers.
- $\log _ { 3 } ( 10 x + 8 y )$

• A) \(\log _ { 3 } 10 x + \log _ { 3 } 8 y\)
• B) \(\log _ { 3 } ( 10 x + 8 y )\)
• C) \(\log _ { 3 } 80 x y\)
• D) \(\left( \log _ { 3 } 10 x \right) \left( \log _ { 3 } 8 y \right)\)

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Definitions:

Cycle Inventory

The inventory a company needs to meet its average sales demand between the arrival of stock replenishments.

Total Cost

The complete cost of production or providing a service, including fixed and variable costs.

Cycle Inventory

The average inventory a business maintains to satisfy its normal demand during a production or purchasing cycle.

Economies of Scale

Cost advantages obtained by businesses when production becomes efficient, leading to lower per-unit costs.