Question

Log x 8=-3
..............

Answer 1

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$\sf \ell og_x8=-3\implies x^{-3}=8\\\sf \dfrac{1}{x^3}=8\\\sf x^3=\dfrac{1}{8}\\\sf x=\sqrt[3]{\dfrac{1}{8}}\\\sf x=\sqrt[\diagup\!\!\!3]{\dfrac{1}{2^{\diagup\!\!\!3}}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=\dfrac{1}{2}\checkmark}}}}$