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aleksa200009
@aleksa200009
March 2022
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СОООС!!!! ПОМОГИТЕ,СРОЧНО
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m11m
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ОДЗ: x² -2x>0 x-2>0
x(x-2)>0 x>2
x=0 x=2
+ - +
-------
0 ---------- 2
----------
\\\\\\\\\ \\\\\\\\\\\\
x∈(-∞; 0)U(2; +∞)
В итоге ОДЗ: x>2
log₁/₅ (x²-2x)=-(1+log₅ (x-2))
-log₅ (x²-2x)= - (log₅ 5 + log₅ (x-2))
log₅ (x²-2x)=log₅ (5(x-2))
x²-2x=5(x-2)
x²-2x-5x+10=0
x²-7x+10=0
D=49-40=9
x₁=(7-3)/2=2 - не подходит по ОДЗ.
x₂=(7+3)/2=5
Ответ: 5.
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Answers & Comments
Verified answer
ОДЗ: x² -2x>0 x-2>0x(x-2)>0 x>2
x=0 x=2
+ - +
------- 0 ---------- 2 ----------
\\\\\\\\\ \\\\\\\\\\\\
x∈(-∞; 0)U(2; +∞)
В итоге ОДЗ: x>2
log₁/₅ (x²-2x)=-(1+log₅ (x-2))
-log₅ (x²-2x)= - (log₅ 5 + log₅ (x-2))
log₅ (x²-2x)=log₅ (5(x-2))
x²-2x=5(x-2)
x²-2x-5x+10=0
x²-7x+10=0
D=49-40=9
x₁=(7-3)/2=2 - не подходит по ОДЗ.
x₂=(7+3)/2=5
Ответ: 5.