Question

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

Answer 1

$2^{x+1} \ \textgreater \ 1024 \\ 2^{x+1}\ \textgreater \ 2^{10} \\ x+1\ \textgreater \ 10 \\ x\ \textgreater \ 9$
Raspuns corect C

Answer 2

$2^{x+1}\ \textgreater \ 1024\\2^{x+1}\ \textgreater \ 2^{10}\\2^{x}\ \textgreater \ 2^{10-1}\\2^{x}\ \textgreater \ 2^{9} \\ x\ \textgreater \ 9$
x∈N
x minim=10
C este varianta corecta