Question

$(2\sqrt[3]{4})^{x} =8$
Решить уравнение

Answer 1

$(2\sqrt[3]{4})^{x}=8\\\\(2\sqrt[3]{2^{2}})^{x}=8\\\\(2*2^{\frac{2}{3}})^{x}=8\\\\(2^{\frac{5}{3}})^{x}=8\\\\2^{\frac{5}{3}x}=2^{3}\\\\\frac{5}{3}x=3\\\\x=3:\frac{5}{3}=3*\frac{3}{5}=\frac{9}{5}=1,8\\\\Otvet:\boxed{1,8}$