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WRTLN
@WRTLN
July 2022
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Решите пожалуйста эти 3 логарифмических уравнения, буду очень благодарен.
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Анатоле
6log(-x,1/2) - log(x^2,1/2)^2 = 2
6 log(-x,1/2) - 4log(-x,1/2)^2 = 2
t = log(-x,1/2)
2t^2 - 3t + 1 = 0
D = 9 - 8 = 1
t1 = (3+1)/4 = 1
t2 = (3-1)/4 = 1/2
log(-x,1/2) = 1 => x = -1/2
log(-x,1/2) = 1/2 => x = -корень(2)/2
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WRTLN
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Answers & Comments
6 log(-x,1/2) - 4log(-x,1/2)^2 = 2
t = log(-x,1/2)
2t^2 - 3t + 1 = 0
D = 9 - 8 = 1
t1 = (3+1)/4 = 1
t2 = (3-1)/4 = 1/2
log(-x,1/2) = 1 => x = -1/2
log(-x,1/2) = 1/2 => x = -корень(2)/2