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AinurB
@AinurB
August 2022
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уравнение[tex]2 log_{4} (3x-7)=3[/tex]
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ShirokovP
Verified answer
(3x - 7)^2 = 4^3
9x^2 - 42x + 49 = 64
9x^2 - 42x - 15 = 0
D = 1764 + 540 = 2304 = 48^2
x1 = ( 42 + 48)/18 = 90/18 = 5
x2 = ( 42 - 48)/18 = - 6/18 = - 1/3
Ответ: 5
1 votes
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Answers & Comments
Verified answer
(3x - 7)^2 = 4^39x^2 - 42x + 49 = 64
9x^2 - 42x - 15 = 0
D = 1764 + 540 = 2304 = 48^2
x1 = ( 42 + 48)/18 = 90/18 = 5
x2 = ( 42 - 48)/18 = - 6/18 = - 1/3
Ответ: 5