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nelyatargonska
@nelyatargonska
March 2022
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Допоможіть розв'язати нерівність : log1/3(2-3x) › -1
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ShirokovP
Verified answer
ОДЗ
2 - 3x > 0
- 3x > - 2
x < 2/3
log1/3( 2 - 3x) > -1
log1/3 (2 - 3x) > log 1/3 (3)
2 - 3x < 3
- 3x < 1
x > - 1/3
+ ОДЗ
x ∈ ( - 1/3; 2/3)
3 votes
Thanks 2
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Answers & Comments
Verified answer
ОДЗ2 - 3x > 0
- 3x > - 2
x < 2/3
log1/3( 2 - 3x) > -1
log1/3 (2 - 3x) > log 1/3 (3)
2 - 3x < 3
- 3x < 1
x > - 1/3
+ ОДЗ
x ∈ ( - 1/3; 2/3)