Question

ecuatia in R:
$3^2^|^x^| - 9 = 0$

Answer 1

$3^{2|x|}-9 = 0 \\ \\ 3^{2|x|} = 9 \\ \\ 3^{2|x|} = 3^2 \\ \\ 2|x| = 2 \\ \\ |x| = \dfrac{2}{2} \\ \\ |x| = 1 \\ \\ x=1\quad sau \quad x=-1 \\ \\ \boxed{S= \Big\{-1; 1\Big\}}$

Answer 2

[tex]\it 3^{2|x|}-9=0 \Leftrightarrow 3^{2|x|}=9 \Leftrightarrow (3^2)^{|x|}=9 \Leftrightarrow 9^{|x|} =9 \Leftrightarrow \\\;\\ \Leftrightarrow |x| = 1 \Leftrightarrow x=\pm1[/tex]