Question

Resolva a inequação exponencial 7⁵⁻ˣ < 1/343

Answer 1

Resposta:

${7}^{5 - x} = \frac{1}{343}$

343/7

49/7

7/7

1_____

$Forma \: fatorada \:de \:343 \:= \:{7}^{3}$

${7}^{5 - x} = \frac{1}{343} \\ \\ {7}^{5 - x} = \frac{1}{ {7}^{3} } \\ \\ {7}^{5 - x} = {7}^{ - 3} \\ \\ 5 - x = - 3 \\ \\ 5 + 3 = x \\ \\ x = 8$

Bons Estudos!