Вычислить: log1/3 6-1/2 log 1/3 400 + 3 log 1/3 3√45

Question

Вычислить:
log1/3 6-1/2 log 1/3 400 + 3 log 1/3 3√45

Answer 1

= log(1\3) [6^2 : 400^(1\2) * 45^(3\3)] =
= log(1/3) [36 : 20 * 45] =
= log(1\3) 81 =
= log{3^(-1)} 3^4 =
= (-1)*4 = -4