# relationship between normal and log-normal distribution

In wikipedia it is stated that:

If $X \sim \operatorname{Log-\mathcal{N}}(\mu, \sigma^2)$ is distributed log-normally, then $\ln(X) \sim \mathcal{N}(\mu, \sigma^2)$ is a normal random variable.

Is the converse true?

Yep, if $X$ is normal, then $\exp(X)$ is log-normal.