Question Number 185294 by SEKRET last updated on 19/Jan/23
$$\:\:\:\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:−\mathrm{2}^{\boldsymbol{\mathrm{x}}} \:=\:\mathrm{1} \\ $$$$\:\:\:\:\:\boldsymbol{\mathrm{x}}=\:? \\ $$
Commented by Frix last updated on 19/Jan/23
$$\mathrm{I}\:\mathrm{don}'\mathrm{t}\:\mathrm{think}\:\mathrm{we}\:\mathrm{can}\:\mathrm{find}\:\mathrm{the}\:\mathrm{exact}\:\mathrm{solutions} \\ $$$${x}_{\mathrm{1}} \approx−\mathrm{1}.\mathrm{19825020} \\ $$$${x}_{\mathrm{2}} =\mathrm{3} \\ $$$${x}_{\mathrm{3}} \approx\mathrm{3}.\mathrm{40745052} \\ $$
Commented by Frix last updated on 19/Jan/23
$$\mathrm{Obviously}\:{x}=\mathrm{3}\:\mathrm{is}\:\mathrm{one}\:\mathrm{of}\:\mathrm{the}\:\mathrm{solutions}. \\ $$
Commented by SEKRET last updated on 20/Jan/23
$$\:\:\boldsymbol{\mathrm{thanks}}\:\boldsymbol{\mathrm{sir}}\:\:\boldsymbol{\mathrm{Frix}} \\ $$