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mkineshma
@mkineshma
July 2022
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ребят решите пожалуйста)[tex]log _{0.2} x-log _{5} (x-2) \ \textless \ log _{0.2} 3[/tex]
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Юленька194
Verified answer
Логарифмическое неравенство
2 votes
Thanks 1
ЕкарныйБабай
Log0.2 x - log5 (x-2) < log0.2 3
одз x>0
x-2>0 x>2
1/5=0.2
log0.2 x + log0.2 (x-2) < log0.2 3
log0.2 x(x-2) < log0.2 3
(0.2-1)(x(x-2)-3)<0
x²-2x-3>0
D=4+12=16
x12=(2+-4)/2=3 -1
(x+1)(x-3)>0
+++++++++ (-1) ---------- (3) +++++++++
--------------------------- (2)//////////////////////////
ответ x>3 x=(3 +00)
1 votes
Thanks 0
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Verified answer
Логарифмическое неравенствоодз x>0
x-2>0 x>2
1/5=0.2
log0.2 x + log0.2 (x-2) < log0.2 3
log0.2 x(x-2) < log0.2 3
(0.2-1)(x(x-2)-3)<0
x²-2x-3>0
D=4+12=16
x12=(2+-4)/2=3 -1
(x+1)(x-3)>0
+++++++++ (-1) ---------- (3) +++++++++
--------------------------- (2)//////////////////////////
ответ x>3 x=(3 +00)