Question

Решить уравнение
$(\frac{2}{5})^{x} = (\frac{4}{9})^{\frac{x}{2}$

Answer 1

$(\frac{2}{5})^{x}=(\frac{4}{9})^{\frac{x}{2}}\\\\(\frac{2}{5})^{x}=[(\frac{2}{3})^{2}]^{\frac{x}{2}}\\\\(\frac{2}{5})^{x}}=(\frac{2}{3})^{x}\\\\Otvet:\boxed{ x=0}$