LogCeption

Calculus Level 3

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

Note:

  • ee is a mathematical constant which approximates to 2.718282.71828 .

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

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