Use the Properties of Logarithms to Rewrite the Expression $$\log _ { b } \sqrt [ 3 ] { \frac { x ^ { 2 } } { y ^ { 4 } z ^ { 7 } } }$$

question 187

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent
positive real numbers.
- $$\log _ { b } \sqrt [ 3 ] { \frac { x ^ { 2 } } { y ^ { 4 } z ^ { 7 } } }$$

• A) \(2 \log _ { b } x - 4 \log _ { b } y - 7 \log _ { b } z\)
• B) \(\frac { 2 } { 3 } \log _ { b } x - \frac { 4 } { 3 } \log _ { b } y - \frac { 7 } { 3 } \log _ { b } z\)
• C) \(\frac { 1 } { 3 } \log _ { b } x ^ { 2 } - \log _ { b } y ^ { 4 } - \log _ { b } z ^ { 7 }\)
• D) \(\frac { 2 } { 3 } \log _ { b } x \div \left( \frac { 4 } { 3 } \log _ { b } y \cdot \frac { 7 } { 3 } \log _ { b } z \right)\)

Grasp the concept of offering alternatives or compromises when refusing requests or claims.

Understand the role of written communication in establishing a record and dealing with complaints.

Learn the importance of closing refusal messages in a professional manner.

Comprehend the ethical implications of communication motives.

---

Definitions:

Total Revenue

The total amount of money a company receives from its goods or services over a specific time period, calculated by multiplying price by quantity sold.

Yearly Return

The total gain or loss experienced on an investment over a period of one year.

Fixed Costs

Costs that do not change with the level of output, such as rent, salaries, and insurance premiums.

Short Run

A time period in which at least one factor of production is fixed, limiting the ability of a firm to adjust its output.