# LogCeption

Calculus Level 3

If the domain of the function $$\ln(\ln(\ln(\ln(\ln(x)))))$$ is $$(a,\infty)$$, solve for $$a$$.

Note:

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

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

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