Question

questão de log qual a resposta??

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log_{\sqrt[4]{3}}\:\dfrac{1}{\sqrt[3]{3}} = x}$

$\mathsf{(\sqrt[4]{3})^x = \:\dfrac{1}{\sqrt[3]{3}}}$

$\mathsf{3^{\frac{x}{4}} = \:\dfrac{1}{3^{\frac{1}{3}}}}$

$\mathsf{\not3^{\frac{x}{4}} = \not3^{-\frac{1}{3}}}$

$\mathsf{\dfrac{x}{4} = -\dfrac{1}{3}}$

$\mathsf{3x = -4}$

$\boxed{\boxed{\mathsf{x = -\dfrac{4}{3}}}}$

Answer 2

Resposta:

log[3^(1/4)]  3^(-1/3)

log 3^(-1/3)  / log  3^(1/4)

(-1/3)/(1/4)  * log 3/log 3

=(-1/3)*(4/1)

=-4/3