Question

Quanto é log de raiz de 5 na base 625?

Answer 1

$\log_{625}\sqrt{5}=\\\\\log_{5^4}5^{\frac{1}{2}}=\\\\\frac{1}{2}\cdot\frac{1}{4}\cdot\log_55=\\\\\frac{1}{2}\cdot\frac{1}{4}\cdot1=\\\\\boxed{\frac{1}{8}}$