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.

Question

Kalan

Mathematics

4 October, 04:38

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.

+3

Answers (2)

Know the Answer?

Lawson Chapman · Answer 1

Use the quotient property to rewrite the expression.

Write the difference of logs as the quotient log ((d+1) / d).

Substitute 1 for d to get log (2).

Since log (2) = 0.30, the probability that the number 1 is the leading digit is about 30%.

Stacy Zuniga · Answer 2

solutions

Step-by-step explanation:

use the quotient property to rewrite the expression.

write the difference of logs as the quotient log ((d+1) / d).

substitute 1 for d to get log (2).

since log (2) = 0.30, the probability that the number 1 is the leading digit is about 30%.