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Determinati numarul natural n stiind ca 2 la puterea n+3 +2 la n+1 + 2 la n=88

Răspuns :

2^n*2^3+2^n*2+2^n=88
2^n(8+2+1)=88
2^n=8
n=3
2 ^ n+3 +2 ^ n+1 + 2 ^ n=88
2^ n*(2^3+2^1+1)=88

2^n*11=88
2^n=88:11
2^n=8
2^n=2^3
n=3