## Benford’s law states that the probability that a number in a set has a given leading digit, d, isP(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.

### To rewrite the expression as a single logarithm, we can use the product property of logarithms

To rewrite the expression as a single logarithm, we can use the product property of logarithms. The product property states that log(x) – log(y) = log(x/y).

Applying this property to the expression P(d) = log(d + 1) – log(d), we can rewrite it as P(d) = log((d+1)/d).

To find the probability that the number 1 is the leading digit, we substitute d = 1 into the expression:

P(1) = log((1+1)/1)

= log(2/1)

= log(2)

Therefore, the probability that the number 1 is the leading digit is log(2).

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