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).
More Answers:
Understanding Algebraic Expressions | Variables, Constants, and Mathematical OperationsUnderstanding Numerical Expressions | Definition, Examples, and Importance in Everyday Life
The Role of Variables in Mathematics | Understanding Unknowns and Solving Equations
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded