Determine o valor numérico do determinante abaixo: 

$\left|\begin{array}{cccc}1& 1& 1& 1\\ \log 7& \log 70& \log 700& \log 7000\\ (log7{)}^2& (log70{)}^2& (log700{)}^2& (log7000{)}^2\\ (log7{)}^3& (log70{)}^3& (log700{)}^3& (log7000{)}^3\end{array}\right|$

Obs: $\log A$ significa logaritmo decimal de $A$.