Question

log500= alguém sabe ?

Answer 1

$\mathrm{\ell og\,}(500)=\mathrm{\ell og\,}(5\cdot 10^{2})\\ \\ \mathrm{\ell og\,}(500)=\mathrm{\ell og\,}(5)+\mathrm{\ell og\,}(10^{2})\\ \\ \mathrm{\ell og\,}(500)=\mathrm{\ell og\,}(5)+2\cdot\mathrm{\ell og\,}(10)\\ \\ \mathrm{\ell og\,}(500)=\mathrm{\ell og\,}(5)+2\cdot 1\\ \\ \mathrm{\ell og\,}(500)=\mathrm{\ell og\,}(5)+2$

Podemos obter o valor aproximado de $\mathrm{\ell og\,}(5)$ a partir de uma tabela de logaritmos ou calculadora científica:

$\mathrm{\ell og\,}(5)\cong 0,699$


Sendo assim,

$\mathrm{\ell og\,}(500)\cong 0,699+2\\ \\ \mathrm{\ell og\,}(500)\cong 2,699$