Question Number 25278 by Tinkutara last updated on 07/Dec/17
$${Find}\:{the}\:{number}\:{of}\:{solutions}\:{of} \\ $$$$\mathrm{log}\mid{x}\mid\:=\:{e}^{{x}} \\ $$
Commented by Tinkutara last updated on 08/Dec/17
$${Can}\:{it}\:{be}\:{solved}\:{using}\:{Lambert}'{s}\:{W} \\ $$$${function}? \\ $$$${Please}\:{tell}\:{mrW}\mathrm{1}\:{Sir}. \\ $$
Commented by mrW1 last updated on 08/Dec/17
$${To}\:{find}\:{how}\:{many}\:{solutions}\:{we}\:{can} \\ $$$${have}\:{a}\:{look}\:{at}\:{the}\:{graph}. \\ $$
Commented by mrW1 last updated on 08/Dec/17
Commented by Tinkutara last updated on 08/Dec/17
$${Yes}\:{I}\:{did}\:{that}. \\ $$$${But}\:{I}\:{am}\:{interested}\:{in}\:{finding}\:{the} \\ $$$${values}\:{of}\:{x}\:{using}\:{Lambert}'{s}\:{W}\:{function}. \\ $$