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lenuska0best0
@lenuska0best0
August 2022
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Log4 x -1+log4 (10-x)=0
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Удачник66
Verified answer
Область определения логарифмов
{ x > 0
{ 10 - x > 0
0 < x < 10
Сумма логарифмов равна логарифму произведения
log4 (x(10-x)) = 1 = log4 4
x(10 - x) = 4
x^2 - 10x + 4 = 0
D/4 = 25 - 4 = 21
x1 = 5 - √21
x2 = 5 + √21
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Answers & Comments
Verified answer
Область определения логарифмов{ x > 0
{ 10 - x > 0
0 < x < 10
Сумма логарифмов равна логарифму произведения
log4 (x(10-x)) = 1 = log4 4
x(10 - x) = 4
x^2 - 10x + 4 = 0
D/4 = 25 - 4 = 21
x1 = 5 - √21
x2 = 5 + √21