Question

Determinati numatul natural n astfel incat:
a) 0,27= n pe 10 la puterea 3 
b) 3,523=3523 pe 10 la puterea n
c) 3,(3)= 4 pe n

Answer 1

a) $0.27 = \frac{n}{10^3} \Rightarrow 0,27\cdot10^3 = n \Rightarrow n = 270$

b) $3,523 = \frac{3523}{10^n} \Rightarrow 10^n = \frac{3523}{3,523} \Rightarrow 10^n = 1000 \Rightarrow n =3$

c) $3,(3) = \frac{4}{n} \Rightarrow n = \frac{4}{3,(3)} \Rightarrow n = 7$