Решите уравнение 210.6: 6^(3x) * 1/6 = 6 * (1/6)^(2x)

Решение: \(6^{3x} \cdot \frac{1}{6} = 6 \cdot (\frac{1}{6})^{2x}\) \(6^{3x-1} = 6 \cdot 6^{-2x}\) \(6^{3x-1} = 6^{1-2x}\) \(3x-1 = 1-2x\) \(5x = 2\) \(x = \frac{2}{5}\) Ответ: \(x = \frac{2}{5}\)