Question

1/1000 elevado a 2x+1 = a raiz de 10

Answer 1

Aplicando propriedades operatórias de potencias

   $( \frac{1}{1000}) ^{2x+1} = \sqrt{10} \\ \\ (10^{-3} ) ^{2x+1} = 10^{ \frac{1}{2} } \\ \\ 10^{-3(2x+1)} = 10^{ \frac{1}{2} } \\ \\ -3(2x+1)= \frac{1}{2} \\ \\ -6(2x+1)=1 \\ \\ -12x-6=1 \\ \\ -12x=7 \\ \\ x=- \frac{7}{12}$