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Cel mai mic numar natural pentru care [tex]2^{x+1} \ \textgreater \ 1024:[/tex]
a) 8
b) 9
c) 10
d) 11


Răspuns :

[tex] 2^{x+1} \ \textgreater \ 1024 \\ 2^{x+1}\ \textgreater \ 2^{10} \\ x+1\ \textgreater \ 10 \\ x\ \textgreater \ 9 [/tex]
Raspuns corect C
[tex]2^{x+1}\ \textgreater \ 1024\\2^{x+1}\ \textgreater \ 2^{10}\\2^{x}\ \textgreater \ 2^{10-1}\\2^{x}\ \textgreater \ 2^{9} \\ x\ \textgreater \ 9[/tex]
x∈N
x minim=10
C este varianta corecta