Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 37

Multiple Choice

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

• A) \(1 - \log _ { 6 } x\)
• B) \(\frac { 1 } { x }\)
• C) \(- \log _ { 6 } x\)
• D) 6

---

Definitions:

Sample Mean

The average of all the data points in a sample, used as an estimate of the population mean.

Sample Standard Deviation

A measure of the dispersion or variability of data points in a sample from the sample mean.

Significance Level

A threshold set by researchers before conducting an experiment to determine at what probability level results will be considered statistically significant, commonly set at 0.05 or 5%.

Type I Error

The incorrect rejection of a true null hypothesis, also known as a "false positive" finding.