Question

quanto é o log de 81 na base x = 4/3 ????​

Answer 1

$log_{x} 81 = \frac{4}{3}$

$x^{\frac{4}{3} } = 81$

$\sqrt[3]{x^{4} } = 81$

$x^{4} = 81^{3}$

$x = \sqrt[4]{81^{3} }$

$x = \sqrt[4]{(3^{4})^{3} }$

$x = \sqrt[4]{3^{12} }$

$x = 3^{3}$

$x = 27$

Bons estudos!