Solve the Problem $u = \ln a$ And $v = \ln b$

question 313

Multiple Choice

Solve the problem.
-Let $u = \ln a$ and $v = \ln b$ . Write the following expression in terms of $u$ and $v$ without using the function $\ln$ .
$\ln \sqrt [ 3 ] { \frac { a ^ { 6 } } { b ^ { 9 } } }$

• A) \(18 u - 27 v\)
• B) \(6 u - 9 v\)
• C) \(2 u - 3 v\)
• D) \(18 u + 27 v\)

---

Definitions:

Type Beta Employees

A categorization in a theoretical model that may refer to a certain group of employees characterized by specific attributes or behaviors, commonly seen in psychological or economic models.

Plowshares

Tools used in farming for cutting furrows in the soil, symbolic of peaceful applications of resources.

Coconut Consumption

The amount of coconut products, such as coconut water, meat, or oil, consumed by an individual or population.

Leisure

Time free from the demands of work or duty, when one can rest, enjoy hobbies, or engage in other personally satisfying activities.