Question

Resolva as equaçoes exponenciais:
a) raiz sextupla de 1000 vezes 10elevado à X = 0,001

Answer 1

$\sqrt[6]{10^3} \cdot10^x = 10^{-3} \\ \\ \\ 10^{\frac{3}{6}}.10^x = 10^{-3} \\ \\ \\ \not10^{\frac{1}{2}+x} = \not10^{-3} \\ \\ \\ \dfrac{1}{2} + x = - 3 \\ \\ \\ x = -3 - \dfrac{1}{2} \\ \\ \\ x = -\dfrac{6}{2} - \dfrac{1}{2} \\ \\ \\ \boxed{x = -\frac{7}{2}}$