Album: Dragonfly. Lyrics: Life has come a long way since yesterday I say. And its not the same old thing over again I say. Just do what you feel and don't you fool yourself I say. Cause I can't make you happy unless I am I say I say I. Got to be true to myself got to be true to myself.
DEFINITION of 'Log-Normal Distribution'. A statistical distribution of random variables which have a normally distributed logarithm. Log-normal distributions can model a random variable X where log(X) is normally distributed. These distributions, under multiplication and division, are self-replicating.
This implies that the argument of the log function has the units mol/L. However, the log function is defined as the reciprocal of exponentiation: y = log_b (x) if x = b^y. If any of the numbers b, x or y have units, the defining equation x = b^y has no meaning. As proof I offer the following: Assume the equation x = b^y has meaning when x has units. Then, for example, log( 1 gram) = log(1 * gram) = log (1) + log (gram) = 0 + log(gram) so that log(1 gram) = log(gram).