Question

Considerando log a = 0,602 e log b= 0,845 responda:

Answer 1

$log \left ( \sqrt[4]{{a^4 \over b}} \right ) = log \left ( {a \over \sqrt[4]{b} } \right) \\\\ log \left ({a \over b^{{1 \over 4}} } \right) = log(a) - log \left(b^{{1 \over 4}} \right) \\\\ log(a) - {1 \over 4} log(b)$

Substituindo os valores dados:

$0.602 - {1 \over 4} \times 0.845 \\\\ \boxed{log \left(\sqrt[4]{{a^4 \over b}} \right) = 0,39075 }$