Question

Calculati log in baza x din 1\81=4

Answer 1

$log_{x} \frac{1}{81} = 4$ ⇒ $x^{4} = \frac{1}{81}$ ⇒ $x = \pm \frac{1}{3}$

Answer 2

[tex] log_{x} \frac{1}{81} =4 [/tex]
 $x^{4}= \frac{1}{81}$
$x= +-\sqrt[4]{ \frac{1}{81} }$
$x= +-\sqrt[4]{3^{-4} }$
$x=+-3^{\frac{-4}{4}}$
$x=+-3^{-1}$
$x= +-\frac{1}{3}$