A weird but not-inaccurate way to think of log(n) is as an answer to “how many digits does n have?”
This suggests that a weird but not-inaccurate way to think of a log-normal distribution is as a distribution where “the number of digits is normally distributed”
A weird but not-inaccurate way to think of log(n) is as an answer to “how many digits does n have?”
This suggests that a weird but not-inaccurate way to think of a log-normal distribution is as a distribution where “the number of digits is normally distributed”
There are a bunch of explanations of logarithm as length on Arbital.