$\ln(\ln(\ln(\ln(\ln(x)))))$ is $(a,\infty)$, solve for $a$.

If the domain of the function**Note**:

$e$ is a mathematical constant which approximates to $2.71828$.

We denote the tetration notation: $^n e = \underbrace{e^{e^{e^{.^{.^{.^e}}}}}}_{n \text{ number of times}}$