Question

log de 8/27 na base 2/3 me ajudem?

Answer 1

Boa noite Maria!

Solução!

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

$\boxed{Resposta:log_{ \frac{2}{3}} \frac{8}{27}=3}$

Boa noite!
Bons estudos!

Answer 2

Boa Noite!

$log_ {\frac{2}{3} } \frac{8}{27}=log_{ \frac{2}{3} } \frac{2^3}{3^3}= log_{ \frac{2}{3} } (\frac{2}{3})^3 =3.log_{ \frac{2}{3} } \frac{2}{3} =3.1=3$

Duvidas?! é só comentar