Guten Morgen asinus,
noch ein kurzer Beitrag zu unseren Nullstellenberechnungen (die wir ja eigentlich nicht machen sollen !!, die aber auch ganz interessant sind.)
$${\mathtt{10.2}}{\mathtt{\,\times\,}}{\sqrt{{{\mathtt{5}}}^{{\mathtt{x}}}}} = {{\mathtt{5}}}^{{\mathtt{x}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}$$
Ich habe $${{\mathtt{5}}}^{{\mathtt{x}}}$$ = a gesetzt und quadriert => $${\mathtt{104.04}}{\mathtt{\,\times\,}}{\mathtt{a}} = {{\mathtt{a}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{a}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}}$$
$${{\mathtt{a}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{100.04}}{\mathtt{\,\times\,}}{\mathtt{a}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}} = {\mathtt{0}}$$
a1 = 0,04 => $${{\mathtt{5}}}^{{\mathtt{x}}} = {\mathtt{0.04}}$$ => x1 = -2
a2 = 100 => $${{\mathtt{5}}}^{{\mathtt{x}}} = {\mathtt{100}}$$ => x2 = 2,86135...
Gruß radix 
!
!
