Question

Equação exponencial 1000^5-²x=1/10?me ajudem please

Answer 1

$1000^{5-2x}=\dfrac{1}{10}$

Note que $1000=10^3$ e $\dfrac{1}{10}=10^{-1}$

$(10^3)^{5-2x}=10^{-1}~\longrightarrow~10^{15-6x}=10^{-1}$

Igualando os expoentes:

$15-6x=-1~\longrightarrow~-6x=-1-15~\longrightarrow~-6x=-16$

$x=\dfrac{-16}{-6}~\longrightarrow~\boxed{x=\dfrac{8}{3}}$

$\text{S}=\{\frac{8}{3}\}$