Use the Properties of Logarithms to Write $\ln \frac { x } { \sqrt [ 3 ] { z } }$

question 65

Multiple Choice

Use the properties of logarithms to write $\ln \frac { x } { \sqrt [ 3 ] { z } }$ as a sum, difference, or product of logarithms. Assume x and z are positive numbers.

• A) \(\ln x + \frac { 1 } { 3 } \ln z\)
• B) \(\ln x - \frac { 1 } { 3 } \ln z\)
• C) \(\ln x - 3 \ln z\)
• D) \(\ln x + 3 \ln z\)

---

Definitions:

Random Sample

A subset of individuals chosen from a larger set, where each individual has an equal chance of being selected.

Nuclear Disarmament

The act of reducing or eliminating nuclear weapons to prevent nuclear warfare, promoting international peace and security.

Alphabetical Listing

A method of organizing items or information in order based on the first letter of each item in the alphabet.

Negatively Correlated

A connection between two variables where as one variable goes up, the other goes down.