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determinati numărul natural n stiind ca: 2 la putere n+3 + 2 la puterea n+1 + 2 l puterea n = 88

Răspuns :

2 ^n+3 + 2^n+1 + 2^n = 88
2 ^n ×(2^3 + 2^1 + 2^0) = 2³×11
2 ^n×(8+2+1) = 2³×11
2 ^n×11 = 2³×11
2 ^n =
n=3