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zhartaeva2014
@zhartaeva2014
July 2022
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решите логарифмические неравенства 2)og1/3(7-x)>-2
3)log2(x-3)≤3 4)lg(4x-1)≤1 помогите прошу буду очень благодарна
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Gviona
1)log1/3(7-x)>-2
ОДЗ:
7-x>0; x<7
log1/3(7-x)>log1/3(9)
7-x<9
-x<9-7
x>-2
С учетом ОДЗ: x e (-2; 7)
2)log2(x-3)<=3
ОДЗ:
x-3>0; x>3
log2(x-3)<=log2(8)
x-3<=8
x<=11
С учетом ОДЗ: x e (3; 11]
3)lg(4x-1)<=1
ОДЗ:
4x-1>0; x>1/4
lg(4x-1)<=lg10
4x-1<=10
4x<=10+1
4x<=11
x<=2,75
С учетом ОДЗ: x e (1/4; 2,75]
2 votes
Thanks 6
zhartaeva2014
а ты можешь показать знак одз??
zhartaeva2014
спасибо тебе
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Answers & Comments
ОДЗ:
7-x>0; x<7
log1/3(7-x)>log1/3(9)
7-x<9
-x<9-7
x>-2
С учетом ОДЗ: x e (-2; 7)
2)log2(x-3)<=3
ОДЗ:
x-3>0; x>3
log2(x-3)<=log2(8)
x-3<=8
x<=11
С учетом ОДЗ: x e (3; 11]
3)lg(4x-1)<=1
ОДЗ:
4x-1>0; x>1/4
lg(4x-1)<=lg10
4x-1<=10
4x<=10+1
4x<=11
x<=2,75
С учетом ОДЗ: x e (1/4; 2,75]