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Aflati n daca 2^n+1 + 2^n+2 + 2^n+3 = 112

Răspuns :

Alina1234555
2^n+1 + 2^n+2 + 2^n+3 = 112
2^n•2¹+2^n•2²+2^n•2³=112
2^n•(2¹+2²+2³)=112
2^n•(2+4+8)=112
2^n•14=112/:14
2^n=8
2³=8
n=3

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