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madmax389
@madmax389
August 2021
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40 баллов помогите срочно алгебра 11 класс решите 2 вар.
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sharadi
1) = log₆36 = 2
2) = log₄₉84/12 = log₄₉7 =1/2
3) = log₉15*18/10 = log₉27 = 1,5
4)log₉ ⁵√6561= 4/5
5) log₄ 1/128 = -3,5
6)= log₇6 - log₇14 - log₇21=log₇( 6/(14*21) )=log₇1/49= -2
7) числитель = 3log₅3
знаменатель = 2log₅3
дробь сократим. Ответ: 3/2 = 1,5
8)log₃x = 9*log₃8/log₃27 - 3*log₃4
log₃x = 3log₃8 - 3log₃4= 9log₃2 - 6log₃2 = 3log₃2
log₃x = 3log₃2
log₃x = log₃8
x = 8
9)= 30/20 = 1,5
10) -х/5 > 0, ⇒ x < 0
11) 2x² -5x +2 > 0 ( корни 2 и 1/2)
Ответ: х∈(-∞;1/2) ∪ (2;+∞)
12)(2-3х)/(2х +5)> 0
Ответ: х∈(-2,5; 2/3)
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Answers & Comments
2) = log₄₉84/12 = log₄₉7 =1/2
3) = log₉15*18/10 = log₉27 = 1,5
4)log₉ ⁵√6561= 4/5
5) log₄ 1/128 = -3,5
6)= log₇6 - log₇14 - log₇21=log₇( 6/(14*21) )=log₇1/49= -2
7) числитель = 3log₅3
знаменатель = 2log₅3
дробь сократим. Ответ: 3/2 = 1,5
8)log₃x = 9*log₃8/log₃27 - 3*log₃4
log₃x = 3log₃8 - 3log₃4= 9log₃2 - 6log₃2 = 3log₃2
log₃x = 3log₃2
log₃x = log₃8
x = 8
9)= 30/20 = 1,5
10) -х/5 > 0, ⇒ x < 0
11) 2x² -5x +2 > 0 ( корни 2 и 1/2)
Ответ: х∈(-∞;1/2) ∪ (2;+∞)
12)(2-3х)/(2х +5)> 0
Ответ: х∈(-2,5; 2/3)