A random variable whose logarithm is normally distributed

$$
f(x)=\frac{1}{x\sigma\sqrt{2\pi}}\exp \bigg(-\frac{(\ln x-\mu)^2}{2\sigma^2}\bigg)
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\text{where $\mu$ is the mean and $\sigma$ is the standard deviation of a} \\
\text{normally distributed random variable $Y$ such that $Y=\ln X$.}
$$