Properties of Logarithms

Question 1

log749 = [___]

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2

Question 2

log798 ≈ [___]

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2.356

Question 3

Question 8

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Question 4

Question 9

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Answer image: https://r07.core.learn.edgenuity.com//media.edgenuity.com/EVresources/3111-10-07-20-06-task/mc001-1.jpg; Answer image: https://r07.core.learn.edgenuity.com//media.edgenuity.com/EVresources/3111-10-07-20-06-task/mc001-3.jpg

Question 5

Question 10

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C; A; D; B

Question 6

Question 11

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B; C; A; D

Question 7

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Question 8

Question 17

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Answer image: https://r03.core.learn.edgenuity.com//media.edgenuity.com/EVresources/3111-10-07-20-05-task/mc001-3.jpg

Question 9

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Revolt · Accepted Answer

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Question 10

Benford’s law states that the probability that a number in a set has a given leading digit, d, is P(d) = log(d + 1) - log(d).State which property you would use to rewrite the expression as a single logarithm, and rewrite the logarithm. What is the probability that the number 1 is the leading digit? Explain.

Revolt · Accepted Answer

To rewrite the expression, use the quotient property of logarithms, which states that log(a) - log(b) = log(a/b). The expression becomes P(d) = log((d + 1) / d). To find the probability that 1 is the leading digit, substitute d = 1 into the expression: P(1) = log((1 + 1) / 1) = log(2). Since log(2) is approximately 0.301, the probability that the first digit is 1 is approximately 30.1% or 0.30.

Properties of Logarithms Answers

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