Question

Equação exponencial: (0,1)^2x = 10

Answer 1

$(0.1)^{2x}=10~\Leftrightarrow~\left(\dfrac{1}{10}\right)^{2x}=10~\Leftrightarrow~\left(10^{-1}\right)^{2x}=10\\\\\Leftrightarrow 10^{-2x}=10^{1}~\Longrightarrow~-2x=1~\Leftrightarrow~x=-\dfrac{1}{2}$