Question

Помогите с логарифмом.

Answer 1

log3 (log3 (∛∛3)) = log3 (log3 (∛(3^(1/3)))) = log3 (log((3^(1/3))^(1/3))) =
= log3 (log3 (3^(1/9))) = log3 ( (1/9) log3(3) ) = log3 (1/9) = log3 (1/3^2) =
= log3 (3^(-2)) = (-2) log3(3) = -2

Answer 2

$log_{3}log_3 \sqrt[9]{3} =log_3(1/9)=-2$