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alina991129
@alina991129
July 2022
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ln(x^2-2x)=lnx решите уравнение
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ShirokovP
Verified answer
ОДЗ
x > 2
ln (x^2 - 2x) = lnx
x^2 - 2x = x
x^2 - 2x - x = 0
x^2 - 3x = 0
x (x - 3) = 0
x = 0 не удовлетворяет ОДЗ
x - 3 = 0 ==> x = 3 удовлетворяет ОДЗ
Ответ
x = 3
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Answers & Comments
Verified answer
ОДЗx > 2
ln (x^2 - 2x) = lnx
x^2 - 2x = x
x^2 - 2x - x = 0
x^2 - 3x = 0
x (x - 3) = 0
x = 0 не удовлетворяет ОДЗ
x - 3 = 0 ==> x = 3 удовлетворяет ОДЗ
Ответ
x = 3