Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 244

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 4 } \left( \frac { x ^ { 2 } } { y ^ { 6 } } \right)$

• A) \(2 \log _ { 4 } x - 6 \log _ { 4 } y\)
• B) \(2 \log _ { 4 } x + 6 \log _ { 4 } y\)
• C) \(\frac { 1 } { 3 } \log _ { 4 } \left( \frac { \mathrm { x } } { \mathrm { y } } \right)\)
• D) \(6 \log _ { 4 } y - 2 \log _ { 4 } x\)

---

Definitions:

Product Life Cycle

The stages a product goes through from introduction to growth, maturity, and decline in the market.

Product Price

The amount of money required to purchase a product, determined by factors like cost of production, market demand, and competition.

Product Life Cycle

A theory that describes the stages a product goes through from its introduction to the market to its decline and eventual withdrawal.

Maturity

The stage in a product's lifecycle where growth slows down, and sales stabilize or start to decline.