Write as the Sum or Difference of Logarithms and Fully $$\ln \left( \frac { \sqrt [ 5 ] { a b } } { c ^ { 4 } d } \right)$$

question 199

Multiple Choice

Write as the sum or difference of logarithms and fully simplify, if possible. Assume the variable
represents a positive real number.
- $$\ln \left( \frac { \sqrt [ 5 ] { a b } } { c ^ { 4 } d } \right)$$

• A) \(5 \ln a + 5 \ln b - 4 \ln c - \ln d\)
• B) \(\frac { 1 } { 5 } \ln a + \frac { 1 } { 5 } \ln b - 4 \ln c - 4 \ln d\)
• C) \(\frac { 1 } { 5 } \ln a + \frac { 1 } { 5 } \ln b - 4 \ln c - \ln d\)
• D) \(\frac { 1 } { 5 } \ln a + \frac { 1 } { 5 } \ln b - 4 \ln c + \ln d\)

---

Definitions:

Low Income Housing

Housing units provided at reduced costs to individuals or families with lower income levels, often subsidized by government programs.

Critical Value

In hypothesis testing, the critical value is a point on the test distribution that is compared to the test statistic to decide whether to reject the null hypothesis.

Hypothesis Test

A method of statistical inference used to decide whether a dataset significantly supports a specific hypothesis.

Type II Error

The error that occurs when a false null hypothesis is not rejected, indicating a missed detection of an effect.