Question

Determinati nr natural n stiind ca 2 la puterea n+3 + 2 la puterea n+1 +2 la n = 88
Va rog repede!
Dau coroana , multumesc , si ma abonez ❤❤

Answer 1

2^n·2³+2^n·2+2^n=88
2^n(8+2+1)=88
2^n·11=88
2^n=8 dar doar 2³=8⇒n=3.

Answer 2

2 la n+2 la n x2²+2 la n x2=56
2 la n(1+4+2)=56
2 la n x7=56⇒2 la n=56:7
   2 la n=8⇒n=3 deoarece 2³=8