Question

Log raiz de 8 na base 2

Answer 1

$log_{2} \sqrt{8} = log_{2}(8)^{ \frac{1}{2} }$

$logM^{n} = nlogM \\ \frac{1}{2} log_{2}(8) = \frac{1}{2} log_{2}(2^3) \\ 3 \3.\frac{1}{2}log_{2}(2)$

$log_{a}(a) = 1 \to \frac{3}{2}log_{2}(2) = \frac{3}{2} .1 = \frac{3}{2}$