Question Number 56052 by mr W last updated on 09/Mar/19
$${Solve}\:{following}\:{equation}\:{for}\:{x}: \\ $$$$\boldsymbol{{x}}^{\boldsymbol{{x}}^{\boldsymbol{{x}}^{\boldsymbol{{n}}} } } =\boldsymbol{{n}}\:{with}\:{n}\in\mathbb{N} \\ $$
Answered by MJS last updated on 09/Mar/19
$${x}=\sqrt[{{n}}]{{n}} \\ $$$$\mathrm{is}\:\mathrm{at}\:\mathrm{least}\:\mathrm{one}\:\mathrm{solution} \\ $$$$\mathrm{this}\:\mathrm{seems}\:\mathrm{true}\:\mathrm{for}\:{n}\in\mathbb{C}\backslash\left\{\mathrm{0}\right\} \\ $$
Commented by mr W last updated on 09/Mar/19
$${thanks}\:{sir}! \\ $$