Question

como resolver a equação (0,1)^(x) = 0,01?

Answer 1

$(0,1)^x=0,01\\ (0,1)^x=(0,1)^2\\\\ elimina~as~bases~e~conserva~os~exponenciais..\\\\ x=2$

ou então faz..

$(0,1)^x=0,01\\\\ \left( \dfrac{1}{10}\right)^x= \dfrac{1}{100}\\\\ \left( \dfrac{1}{10^1}\right)^x= \dfrac{1}{10^2}\\\\ (10^{-1})^x=10^{-2}\\ \not10^{-x}=\not10^{-2}\\\\ -x=-2~~(sinais~iguais..)\\\\ x=2$