Benford's Law Random Number Generator

Pseudo-random number generator that generates sets of numbers which conform to Benford's Law

This function generates arrays of pseudo-random numbers which conform to Benford's Law.
Benford's Law refers to the frequency of first digits in numerical datasets from natural real-life sources, such as populations of cities and heights of mountains. According to this law, 1 is the first digit in about 30% of the time and 9 is the first digit only in about 5% of the dataset values. The values from real-life datasets have to spread across multiple, preferrably at least 3 orders of magnitude to fit the distribution well.