2 в степени log2 6 3

Ответ от Наталия Тузина[гуру]
Ответ
log^2 6 3 + (log6 18 / log2 6) =
= log^2 6 3 + log6 18 * log6 2 =
= log^2 6 3 + log6 (6*3) * log6 2 =
= log^2 6 3 + {log6 6 + log6 3) * log6 2 =
= log^2 6 3 + {1 + log6 3) * log6 2 =
= log^2 6 3 + log6 3 * log6 2 + log6 2 =
= log6 3 * (log6 3 + log6 2) + log6 2 =
= log6 3 * log6 (3*2) + log6 2 =
= log6 3 * log6 6 + log6 2 =
= log6 3 + log6 2 =
= log6 (3*2) =
= log6 6 = 1