Properties of Logarithms

Question 1

⇒ -1.631

Revolt · Accepted Answer

a

Question 2

Question 23

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Question 3

Question 24

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Question 4

Question 25

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Question 5

Question 26

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-10-07-20-06-task/mc001-1.jpg

Question 6

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.

Question 7

= AX B✔ CD

Revolt · Accepted Answer

✔ C; C; A; D; B

Question 8

substitutioncommutative property

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Answer image: //media.edgenuity.com/EVresources/3111-10-07-20-09-task/mc001-2.jpg

Question 9

43225665,536

Revolt · Accepted Answer

32

Question 10

Question 32

Revolt · Accepted Answer

A; C

Properties of Logarithms Answers

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