Question

me ajude nessa Questão pfvr​

Answer 1

$2 * 2^x = \sqrt[6]{8} * \sqrt[4]{2} * \sqrt[6]{2} \\mmc(6, 4) = 2 * 2 * 3 = 12\\2 * 2^x = \sqrt[12]{8^2 * 2^3 * 2^2}\\2 * 2^x = \sqrt[12]{2^{2 * 3} * 2^3 * 2^2}\\2 * 2^x = \sqrt[12]{2^6 * 2^3 * 2^2}\\2 * 2^x = \sqrt[12]{2^{6 + 3 + 2}}\\2 * 2^x = \sqrt[12]{2^{11}}\\2 * 2^x = 2^{\frac{11}{12} }\\2^x = \frac{2^{\frac{11}{12} }}{2^1} \\2^x = 2^{\frac{11}{12} - 1}\\2^x = 2^{\frac{11 - 12}{12}}\\2^x = 2^{\frac{-1}{12}}\\x = -\frac{1}{12}$