Question

Resolva a exponencial : (10^x)^1-x=0,000001

Answer 1

E ae Caio,

aplique a propriedade da potenciação:

$(10^x)^{1-x}=0,000001\\\\ 10^{x- x^{2} }= \dfrac{1}{1000.000}\\\\ 10^{x- x^{2}}= \dfrac{1}{10^{6} }\\\\ \not10^{x- x^{2} }=\not10^{-6}\\ x- x^{2} =-6\\ x^{2} -x-6=0~\to~eaquacao~do~2o~grau\\\\ x'=-2~~~e~~~x''=3\\\\\\ \boxed{S=\{-2,3\}}$

Espero ter ajudado e tenha ótimos estudos mano =))