Question

Упростить. 30 баллов

Answer 1

$\frac{log_3 8 * log_3 8}{log_3 16 *log_3 16} = log_{16} 8 * log_{16} 8 = log_{2^4} 2^3 * log_{2^4} 2^3= \frac{3}{4} log_2 2 * \frac{3}{4} log_2 2= \frac{9}{16}$