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Aflati numarul natural x din:2 la x+ 2la x+1 +2la 3+x =1408

Răspuns :

2ˣ+2ˣ⁺¹+2ˣ⁺³=1408
2ˣ+2ˣ2¹+2ˣ2³=1408
2ˣ(1+2+8)=1408
2ˣ11=1408
2ˣ=128 , 128=2⁷
2ˣ=2⁷
x=7.