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Question Number 191501 by normans last updated on 24/Apr/23

$$$$$$findasolution;$$$$$$$${\mathit{e}}^{\mathit{x}}=\mathit{l}\mathit{n}\left(\mathit{x}\right)$$$$$$

Commented by mehdee42 last updated on 24/Apr/23

$$thisequationhasnosolution$$

Commented by mehdee42 last updated on 24/Apr/23

Answered by Frix last updated on 25/Apr/23

$${\mathrm{e}}^x=\ln x\iff x={\mathrm{e}}^x=\ln x$$$$x={\mathrm{e}}^x$$$$(-x){\mathrm{e}}^{-x}=-1$$$$x\approx .318131505205\pm 1.33723570143\mathrm{i}$$

Commented by mehdee42 last updated on 28/Apr/23

$$?!e^x=lnx\iff x=e^x=lnx?!$$

Commented by Frix last updated on 13/May/23

$$f\left(x\right)=f^{-1}\left(x\right)\Rightarrow x=f\left(x\right)=f^{-1}\left(x\right)$$

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