Question

LOGARITMO.. Sabendo que log 2= 0,301, calcule log (raiz quinta de 512)

Answer 1

$log~\sqrt[5]{512}=log~\sqrt[5]{2^{9}}\\log~\sqrt[5]{512}=log~(2^{9/5})\\log~\sqrt[5]{512}=(9/5)\cdot log~2\\log~\sqrt[5]{512}=1,8\cdot0,301\\\\\boxed{\boxed{log~\sqrt[5]{512}=0,5418}}$