Question

passe o log4 8 para a base 2

Answer 1

Mudança de base (de b para c):

$\boxed{\boxed{log_{b}(a)=\dfrac{log_{c}(a)}{log_{c}(b)}}}$
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$log_{4}(8)=\dfrac{log_{2}(8)}{log_{2}(4)}$

Se quiser a resolução:

$log_{4}(8)=\dfrac{log_{2}(2^{3})}{log_{2}(2^{2})}\\\\\\log_{4}(8)=\dfrac{3\cdot log_{2}(2)}{2\cdot log_{2}(2)}\\\\\\\boxed{\boxed{log_{4}(8)=\dfrac{3}{2}}}$