## Calculus with Applications (10th Edition)

$$2^{|x|} =8$$ The solution of the given equation is $$x =3 \text { or } x=-3.$$
$$2^{|x|} =8$$ Since the bases must be the same, write 8 as $2^{3 }$ giving \begin{aligned} 2^{|x|} &=8 \\ 2^{|x|} &=2^{3} \\|x| &=3 \\ x &=3 \text { or } x=-3 \end{aligned} So, the solution of the given equation is $$x =3 \text { or } x=-3.$$