Помогите с номером 5.24 Алгебра 10 класс. Created by Kianna99. algebra-ru

Помогите с номером 5.24 Алгебра 10 класс...

Kianna99 @Kianna99

August 2022 1 3 Report

Помогите с номером 5.24 Алгебра 10 класс

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oganesbagoyan

Verified answer

5.24
а) Loq_3 27 -Loq_√3 27 -Loq_1/3 27 - Loq_√3/2 (64/27) =
Loq_3 3³ -Loq_√3 (√3)⁶ +Loq_3 3³ - Loq_√3/2 (√(4/3) ⁶) =
3 -6 +3 - Loq_√3/2 (√(4/3)⁶) =  - Loq_√3/2 (2/√3)⁶) = -(-6) =6.
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б) Loq_0,4 ((1/5)*∛50 ) +Loq_0,6  (√(15) /5) +Loq_0,32 ((2√2)/5)=
Loq_0,4 ( ∛(50/125)) + Loq_0,6  (√(15/25)) +Loq_0,32 (√(2²2)/5²) )=
Loq_0,4 ( ∛(0,4)  + Loq_0,6  (√(0,6)) +Loq_0,32 (√(0,32) ) =
=1/3 +1/2 +1/2 =1/3+1 = 1 1/3    * * *   4/3   * * *.
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в) (Loq_1/2 ∛1/4 +6Loq_1/4 1/2 -2Loq_1/16 1/4 ): Loq_√2 8^(1/5) =
(Loq_1/2 (1/2)^(2/3) +6Loq_1/4 √(1/4) -2Loq_1/16 √(1/16) ) : Loq_(2)^(1/2) 2^(3/5) = (2/3 +6*(1/2) -2*(1/2) ) :(3/5) /(1/2) = (8/3)*(5/6)=20/9.
**************
Удачи !

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