Use the Properties of Logarithms to Rewrite the Expression $\log _ { 19 } \left( \frac { 14 \mathrm {~m} } { \mathrm {~s} } \right)$

question 266

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { 19 } \left( \frac { 14 \mathrm {~m} } { \mathrm {~s} } \right)$

• A) \(\log _ { 19 } 14 + \log 19 m - \log 19 s\)
• B) \(\left( \log _ { 19 } 14 \right) ( \log 19 \mathrm {~m} ) - \log _ { 19 } \mathrm {~s}\)
• C) \(\frac { \log 1914 + \log 19 \mathrm {~m} } { \log 19 \mathrm {~s} }\)
• D) \(\log 1914 - \log 19 \mathrm {~m} - \log 19 \mathrm {~s}\)

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Definitions:

Significance Level

The likelihood of mistakenly dismissing the null hypothesis, typically represented by alpha, when in truth it holds.

Null Hypothesis

A statement or hypothesis that assumes no statistical significance or effect exists in a set of observations or experiment.

Two-Tailed Test

A hypothesis test in which the critical area for a rejection of the null hypothesis is in both tails of the probability distribution, allowing for testing of deviations in both directions.

Population Mean

The average of all the values in a population, representing the central tendency of the total population.