Question

Rezolva:

a) Determina numărul natural n, știind ca: 8^n+3 = 512.

b) Determina numarul natural n, stiind ca: 4^n + 4^n+1 = 20

Answer 1

8(n+3)=2^9

(2³)^(n+3)=2^9

2^(3n+9)=2^9...n=0∈N

4^n(1+4)=20

4^n *5=20

4^n=4

n=1 ∈N