$$log_a x = log_a(\frac{a^4 \sqrt[3]{b}}{c^3}) = log_a a^4 + log_a b^{\frac{1}{3}} - log_a c^3 = 4log_a a + \frac{1}{3}log_a b - 3log_a c = 4 \cdot 1 + \frac{1}{3} \cdot 3 - 3 \cdot (-2) = 4 + 1 + 6 = 11$$.
Ответ: 11