I worked out this question, and I wanted to see if my understanding of the concepts involved is sound.
Solve for $x$ $$\ln(\ln(x))=1$$
$$e^1=\ln(x)$$ $$e^e=x$$ Since any number raised to $1$ is just itself, the final answer could be expressed as $x=e^e$ This is not a homework question, but a question I stumbled across which I find interesting: I want to see if my understanding is correct.