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Question Number 160821 by mathlove last updated on 07/Dec/21

Commented by Mathematification last updated on 07/Dec/21

$$Ln\frac{x}{Ln\frac{x}{Ln\frac{x}{Ln....}}}=e$$$$Ln\frac{x}{e}=e$$$$Ln\left(x\right)-Ln\left(e\right)=e$$$$Ln\left(x\right)=e+1$$$$x=e^{e+1}$$Solution by : Emperor Gideon

Answered by Raxreedoroid last updated on 07/Dec/21

$$e=\ln \frac{x}{\ln \frac{x}{\ln \frac{x}{...}}}$$$$e=\ln \frac{x}{e}$$$$e=\ln \left(x\right)-1$$$$x=e^{e+1}$$

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