solve-x-x-1-4-How-can-we-get-the-complex-solution-

Question Number 148314 by Tawa11 last updated on 27/Jul/21

$$\mathrm{solve}:\:\:\:\:\:\:\mathrm{x}^{\mathrm{x}} \:\:\:=\:\:\:\frac{\mathrm{1}}{\mathrm{4}} \\ $$$$\mathrm{How}\:\mathrm{can}\:\mathrm{we}\:\mathrm{get}\:\mathrm{the}\:\mathrm{complex}\:\mathrm{solution} \\ $$

Commented by Tawa11 last updated on 27/Jul/21

$$\mathrm{what}\:\mathrm{is}\:\:\:\:\:\:\mathrm{W}_{\mathrm{n}} \left(−\:\mathrm{ln}\:\mathrm{4}\right) \\ $$

Answered by Gbenga last updated on 27/Jul/21

$$\boldsymbol{\mathrm{x}}=\boldsymbol{\mathrm{e}}^{\boldsymbol{\mathrm{w}}\left(−\boldsymbol{\mathrm{ln}}\left(\mathrm{4}\right)\right)} \\ $$

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