r) log4 x =1log4 216-2 log4 10+4 log4 3.

г) $$log_4 x = \frac{1}{3} log_4 216 - 2 log_4 10 + 4 log_4 3$$

$$log_4 x = log_4 216^{\frac{1}{3}} - log_4 10^2 + log_4 3^4$$

$$log_4 x = log_4 \sqrt[3]{216} - log_4 100 + log_4 81$$

$$log_4 x = log_4 6 - log_4 100 + log_4 81$$

$$log_4 x = log_4 \frac{6 \cdot 81}{100}$$

$$x = \frac{6 \cdot 81}{100} = \frac{486}{100} = 4,86$$

Ответ: 4,86