Question

Como calcular a equação exponencial:

8 vezes a raiz cubica de 2 elevado a x = 1

Answer 1

$8\cdot\sqrt[3]{2^x}=1\\\\\sqrt[3]{2^x}=\frac{1}{8}\\\\(2^x)^{\frac{1}{3}}=\frac{1}{2^3}\\\\2^{\frac{x}{3}}=2^{-3}\\\\\frac{x}{3}=-3\\\\x=3\cdot(-3)\\\\\boxed{x=-9}$