Вычислите: (log3)(log2/3)(log8)(log3)81

Question

Вычислите: (log3)(log2/3)(log8)(log3)81

Answer 1

(log₃)(log₂/₃)(log₈)log₃81=(log₃)(log₂/₃)(log₈)log₃3⁴=

= (log₃)(log₂/₃)log₈4  =(log₃)(log₂/₃)log₂³ 2²=(log₃)log₂/₃2/3=log₃1 = 0