Question

Determinati numaryl natural x astfel incat
2 la puterea 1 •2la puterea 2 •2 la puterea 3•....•2 la puterea 50 =2 la puterea x
Va rog ajutati-ma!!!

Answer 1

$2^{1} * 2^{2} *2^{3}*...*2^{50}=2^{x}$
 2^{1+2+3+...+50} =2^{x}
x=1+2+3+...+50
x=50*51:2
x=1275