Помогите, пожалуйста, решить)
(1/2)^log₆ 2 * 3^log₆ (1/2) =
=(2⁻¹)^log₆ 2 * 3^(log₆ 1 - log₆ 2)=
=(2⁻¹)^log₆ 2 * 3^(0 - log₆ 2)=
=(2⁻¹)^log₆ 2 * (3⁻¹)^log₆ 2=
=(2⁻¹ * 3⁻¹)^log₆ 2 =
=(6⁻¹)^log₆ 2=
= 1 =
6^log₆ 2
=1/2
Оцени ответ
Вход
Регистрация
Задать вопрос
(1/2)^log₆ 2 * 3^log₆ (1/2) =
=(2⁻¹)^log₆ 2 * 3^(log₆ 1 - log₆ 2)=
=(2⁻¹)^log₆ 2 * 3^(0 - log₆ 2)=
=(2⁻¹)^log₆ 2 * (3⁻¹)^log₆ 2=
=(2⁻¹ * 3⁻¹)^log₆ 2 =
=(6⁻¹)^log₆ 2=
= 1 =
6^log₆ 2
=1/2