Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
 adjective Of, relating to, or being a logarithmic function with a normal distribution.
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 adjective mathematics Describing a
logarithmic function that has anormal distribution
Etymologies
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Examples

There is definitely a pattern in the number of records exposed by data breaches, and it follows a socalled lognormal distribution.
CSO 2009

Similar considerations suggest that the form of the stochastic process distribution, whether it is normal, lognormal, or otherwise, is superfluous.
Archive 20090101 Gordon McCabe 2009

The range of values for R and D are assumed to be represented by lognormal distribution curves (See Figure 1).

The equations for f and a are derived using the lognormal distribution curve S (Figure 2) along with statistical mathematics and algebra.

A convenient way to assess the probability of failure (D R) is to consider a single lognormal distribution curve called the safety margin or S, where S = R – D (see Figure 2).

Geometric Brownian motion, in contrast, is such that each random variable St has a lognormal distribution.
Archive 20090101 Gordon McCabe 2009

A piece of supporting evidence is that several evolutionary mechanismstend to be stochastic processes, whichmeans their behaviour could be potentially represented by distribution curves (normal, lognormal, or other).

We also show that the latent and infectious periods can be approximated by using lognormal distributions with means (SD) of 4.3 (1.8) and 2.5 (1.2) days.
Is China Weaponizing Plague that Can Kill Within 24 Hours? 2009

Even I know these are very large numbers, so I look around for reasons thank you google and I hit upon the possibility I could be looking at a lognormal distribution.
More Evidence That Hurricanes Are The Result Of A Poisson Process « Climate Audit 2007

We propose that the distribution of DNA words in genomic sequences can be primarily characterized by a double Paretolog normal distribution, which explains lognormal and powerlaw features found across all known genomes.
Junk DNA, Linguistics and the scientific vacuity of Intelligent Design  The Panda's Thumb 2007
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