Question

de o conjunto soluçao da equaçao e explique como chegou ao resultado

1/100^2x=0,001

Answer 1

$\dfrac{1}{100}^{2x}=0,001\\\\ \dfrac{1}{10^2}^{2x}= \dfrac{1}{1.000}\\\\(10^{-2})^{2x}= \dfrac{1}{10^3}\\\\ 10^{-4x}=10^{-3} \\ \not10^{-4x}=\not10^{-3}\\\\ -4x=-3\\\\ x= \dfrac{-3}{-4}\\\\ x= \dfrac{3}{4}\\\\\\ \Large\boxed{\text{S}=\left\{ \dfrac{3}{4}\right\}}$