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 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%.

Explanation:

Answer 2

solutions

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%.