Question

Equação exponencial (1÷8)x=1÷128

Answer 1

$\large\boxed{\begin{array}{l}\rm\bigg(\dfrac{1}{8}\bigg)^x=\dfrac{1}{128}\\\\\rm \bigg(\bigg[\dfrac{1}{2}\bigg]^3\bigg)^x=\bigg(\dfrac{1}{2}\bigg)^7\\\\\rm\bigg(\dfrac{1}{2}\bigg)^{3x}=\bigg(\dfrac{1}{2}\bigg)^7\\\\\rm 3x=7\\\rm x=\dfrac{7}{3}\end{array}}$