Question

qual o logaritmo de 8/27 na base 2/3

Answer 1

log(base2/3)de 8/27 =log(base2/3)de (2/3)³ = 3log(base2/3)de (2/3) =3x1 = 3

Answer 2

$a^x=b \\ \\ log_{a} b=x$

$(\frac{2}{3})^{x} = \frac{8}{27} \\ \\ (\frac{2}{3})^{x} = \frac{ 2^{3} }{ 3^{3} } \\ \\ ( \frac{2}{3})^{x} = (\frac{2}{3} )^3 \\ \\ x=3$






$log_{ \frac{2}{3} } ( \frac{8}{27})=3$