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Determinati numarul natural n, stiind ca 4 la puterea n +4 la puterea n+1=20
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Răspuns :

4^{n}+ 4^{n+1} =20 4^{n}+ 4^{n}*4=20 Notam 4^{n} = t t+4t=20 5t=20 t=4 4^{n} = 4 n=1