Use the Following Approximations to Find the Approximate Value of the Logarithmic

question 70

Multiple Choice

Use the following approximations to find the approximate value of the logarithmic expression:
$\log _ { b } 3 \approx 0.5 \quad \log _ { b } 8 \approx 0.9$
$\log _ { b } 5 \approx 0.7 \quad \log _ { b } 20 \approx 1.3$
- $\log _ { b } \sqrt [ 3 ] { 8 }$ (Round answer to nearest hundredth.)

• A) \(0.45\)
• B) \(2.7\)
• C) \(0.3\)
• D) 2

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Definitions:

Level of Significance

The probability of rejecting the null hypothesis in a statistical test when it is actually true; a measure of the risk of making a Type I error.

Proportions

A statistical measure that reflects the size of a part compared to the whole, typically expressed as a fraction or a percentage.

Level of Significance

The probability of rejecting the null hypothesis in a statistical test when it is actually true, typically set prior to conducting the test.

Normal Distribution

A bell-shaped curve symmetrical about its mean, representing a distribution where most occurrences take place in the middle of the range and fewer occur as one moves away from the center.