Помогите с решением логарифмов.. Created by pashagrishin2. matematika-ru

Помогите с решением логарифмов...

pashagrishin2 @pashagrishin2

September 2021 1 6 Report

Помогите с решением логарифмов.

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oganesbagoyan

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1) Loq_2 18 +Loq_2 3 -Loq_2 27 =Loq_2 (18*3/27) =Loq_2 2 =1.
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2) Loq_2 √3 +1/2Loq_2 4/3 =Loq_2 √3 +1/2Loq_2  (2/√3 )² =   Loq_2 √3 +(1/2)*2Loq_2  2/√3 =  Loq_2 √3 +Loq_2  2/√3 =
Loq_2 (√3 *2/√3 )= Loq_2  2 =1.
3) Loq_3 8 +3Loq_3 9/2 =  Loq_3 2³ +3(Loq_3 9 -Loq_3 2 ) =
3Loq_3 2 +3(2 -Loq_3 2 ) = 3Loq_3 2 +6 -3Loq_3 2 = 6.
4) Loq_5 2³ -Loq_5 2 +2 Loq_5 5/2 = 3 Loq_5 2 -Loq_5 2 +2 (Loq_5 5 -Loq_5 2) = 3 Loq_5 2 -Loq_5 2 +2 (1 -Loq_5 2) =3 Loq_5 2 -Loq_5 2 +2 -2Loq_5 2)= 2.
5) Loq_6 14 +Loq_6 3 +Loq_6 7 = Loq_6 (14*3/7) = Loq_6 6 =1.
6) Loq_1/4 8 - Loq_1/4 3+ Loq_1/4 24=Loq_1/4 (8/3)*24 =Loq _1/4 8² =
Loq _1/4 4³ = -3.

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