Dummy 01

$\begin{array}{cc}|-{\left(\frac{1}{100}\right)}^x|& <10^{-6}\\ {\left(\frac{1}{100}\right)}^x& <10^{-6}\\ \frac{1^x}{100^x}& <10^{-6}\\ \frac{1}{100^x}& <10^{-6}\\ & <\frac{1}{10^6}\\ 100^x& >10^6\\ x& >\frac{\log 10^6}{\log 100}\\ & >\frac{\log 10^6}{\log 10^2}\\ & >\frac{{\log }_{10}10^6}{{\log }_{10}10^2}\\ & >\frac{6}{2}\\ & >3\end{array}$