Question

quanto é log de raiz de 2 na base 8

Answer 1

Raiz de 2 (base)

2^3 (logaritmando)

(2)^x/2 = 2^3

x/2 = 3
x= 6

Answer 2

$\log _a \left( b \right) =x\\a^x=b\\\\ \log _8 \left( \sqrt{2} \right) =y\\\\8^y=\sqrt{2}\\(2^3)^y=(2^\frac{1}{2})\\2^{3y}=2^{\frac{1}{2}}\\\\3y=\frac{1}{2}\\\boxed{y=\frac{1}{6}}$