Question

Dois sobre três elevado a x igual a oito.Alguém consegue me responder?

Answer 1

$\mathrm{\bigg(\dfrac{2}{3}\bigg)^x=8\ \to\ \log{\bigg(\dfrac{2}{3}\bigg)^x}=\log{8}}\\\\ \mathrm{x.\log{\bigg(\dfrac{2}{3}\bigg)}=\log{8}\ \to\ x=\dfrac{\log{8}}{\log{\bigg(\dfrac{2}{3}\bigg)}}}\\\\ \boxed{\mathbf{x=\log_{\frac{2}{3}}{8}}}$