Question

$si x\ \textgreater \ 0, y, x \neq 1, entonces, log_{ x^{2} } \frac{x}{ \sqrt[3]{ x^{2} } } , es, igual, a$

Answer 1

$\log_{x^2}{\left(\frac{x}{\sqrt[3]{x^2}}\right)} = \log_{x^2}{\left(\frac{x}{x^{\frac{2}{3}}}\right)} = \log_{x^2}{\left(x^{\frac{1}{3}}\right)} = \log_{x^2}{\left( (x^2)^{\frac{1}{6}} \right)} = \dfrac{1}{6} Respuesta : \dfrac{1}{6}$