Question

Halla x : log27 x = -1/3

Answer 1

Halla x : log27 x = -1/3
$log (27x)= \frac{-1}{3} \\ \\ 27x=10^{-1/3} \\ \\ x= \frac{10^{-1/3} }{27} \\ \\ x= \frac{1}{27 \sqrt[3]{10} } \approx0.01719$

Esta seria la solución

Answer 2

Halla x : log27 x = -1/3

$-\frac{1}{3}=\log _{10}\left(10^{\left(-\frac{1}{3}\right)}\right)$

$-\frac{1}{3}=\log _{10}\left(\frac{10^{\frac{2}{3}}}{10}\right)$

$27x=\frac{10^{\frac{2}{3}}}{10}$

$\frac{27x}{27}=\frac{\frac{10^{\frac{2}{3}}}{10}}{27}$

$x=\frac{10^{\frac{2}{3}}}{270}$

RESPUESTA :

$\boxed{x=\frac{10^{\frac{2}{3}}}{270} }} o\boxed{x=0.01719}}$