Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 156

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 17 } \left( \frac { \sqrt [ 2 ] { 5 } } { y ^ { 2 } x } \right)$

• A) \(\frac { 1 } { 2 } \log _ { 17 } 5 - 2 \log _ { 17 } y - \log _ { 17 } x\)
• B) \(2 \log _ { 17 } 5 - 2 \log _ { 17 } y - \log _ { 17 } 2\)
• C) \(\frac { 1 } { 2 } \log _ { 17 } 5 - 2 \log _ { 17 } \mathrm { y } - 2 \log _ { 17 } \mathrm { x }\)
• D) \(\log _ { 17 } 5 - \log _ { 17 } y - \log _ { 17 } x\)

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Definitions:

Sampling Frame

The list or database from which a statistical sample is drawn; it represents the population of interest.

Target Population

The total group of individuals for which a research study or statistical analysis is aimed and intended to generalize findings.

Confidence Intervals

A range of values derived from a dataset, estimated to contain the true value of a parameter with a certain probability level.

Time-Series Data

Data collected at successive equally spaced points in time, often used in forecasting and identifying trends.