Question

determinati numarul natural n stiind ca: a)6,37=nsupra 10 la puteria2. b)4,187=4187supra10 al puterea n. c)1,3=nsupra100.

Answer 1

$a)\ 6,37 = \dfrac{n}{10^2} \Longrightarrow n = 6,37 \times 10^2 \Longrightarrow n = 637 \\ \\ \\ b) \ 4,187 = \dfrac{4187}{10^n} \Longrightarrow 10^n = \dfrac{4187}{4,187} \Longrightarrow 10^n = 1000 \Longrightarrow n = 3 \\ \\ \\ c) 1,3 = \dfrac{n}{100} \Longrightarrow n = 1,3 \times 100 \Longrightarrow n = 130$

Answer 2

a)6,37=n/10^2
637/100=n/100
n=637
b)4,187=4187/10^n
4187/1000=4187/10^n
4186/10^3=4187/10^n
10^3=10^n
n=3
c)1,3=n/100
13/10=n/10^2
130/10^2=n/10^2
n=130