Ответы на вопрос:
1) log₂ a = 4log₂√3,⇒log₂ a = log₂√3⁴, ⇒ log₂ a = log₂√81,⇒log₂ a = log₂9, а = 9 2) log₃ a = log₃2 + log₉3⇒log₃ a = log₃2 + log₃3/log₃9,⇒ log₃ a = log₃2 + l/2, ⇒log₃ a = log₃2 + log₃(√3). а = 2√3 3) loga a = 3loga7 - 0,25loga3 а = 7³/⁴√3 4) loga a = 5loga3 + 1/4loga5 + 3loga7 а = 3⁵ * ⁴√5 * 7³ 5) loga a = 2/3loga √2 + 5/6 loga2^6 а = ∛а² *2⁵ 6) log2 a = log2 ((log4)5) - (log0,25)10), a = log₄5 - log₁/₄10 = log₄5 +log₄10 = log₄50
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