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.
Answer
Answer:
Use the quotient property: P(d) = log((d+1)/d). For d = 1, P(1) = log(2) ≈ 0.30, so the probability is about 30%.

Question

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.

Answer

Answer:

Use the quotient property: P(d) = log((d+1)/d). For d = 1, P(1) = log(2) ≈ 0.30, so the probability is about 30%.

Revolt · Accepted Answer

Use the quotient property: P(d) = log((d+1)/d). For d = 1, P(1) = log(2) ≈ 0.30, so the probability is about 30%.