Răspuns :
[tex] 2^{x}+2^{x+2} =160 \\ \\ 2^{x}+2^{x}* 2^{2}=5* 2^{5} \\ \\ 2^{x}(1+ 2^{2} )=5* 2^{5} \\ \\ 2^{x}*5=2^{5}*5 \\ \\ x=5[/tex]
verificare
[tex]2^{5}+ 2^{(5+2)} =160 \\ \\ 2^{5}+ 2^{(7)} =160 \\ \\ 32+128=160 \\ \\ 160=160[/tex]
verificare
[tex]2^{5}+ 2^{(5+2)} =160 \\ \\ 2^{5}+ 2^{(7)} =160 \\ \\ 32+128=160 \\ \\ 160=160[/tex]