Question

Salut, ma puteti ajuta.Am facut problema numarul 17 si numarul 18.Sunt ok raspunsurile precum si rezolvarile ???

Answer 1

17)

[tex]\it Fie \ k, \ elementul\ neutru. \\ \\x*k=x \Rightarrow x^{2lnk} =x^1 \Rightarrow 2lnk=1 \Rightarrow lnk=\dfrac{1}{2} \Rightarrow k = e^{\frac{1}{2}} \Rightarrow k = \sqrt{e}[/tex]

18)

[tex]\it Fie\ x',\ simetricul\ lui\ x. \\ \\ x*x'=k \Rightarrow x^{2lnx'} = e^{\frac{1}{2}} \Rightarrow ln x^{2lnx'} = ln e^{\frac{1}{2}} \Rightarrow 2lnx' lnx=\dfrac{1}{2} lne \Rightarrow \\ \\ \\ \Rightarrow lnx'lnx=\dfrac{1}{4} \Rightarrow lnx' = \dfrac{1}{4lnx} \Rightarrow x'= e^{\frac{1}{4lnx}} [/tex]