Помогите,пожалуйста с логарифмами:)
log₃ (ײ-4×+4)=2
3Log₄x=log₄12.5+log₄64
2Log₃(x-2)-Log₃(x+1)=1
Log₄(x-4)+Log₄(x+4)=Log₄(3x-+2)
log₃ (ײ-4×+4)=2
3Log₄x=log₄12.5+log₄64
2Log₃(x-2)-Log₃(x+1)=1
Log₄(x-4)+Log₄(x+4)=Log₄(3x-+2)
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x² - 4x + 4 = 9
x² - 4x - 5 = 0
По теореме Виета:
x₁ = -1
x₂ = 5
3log₄ x = log₄ 12,5 + log₄ 64
log₄ x³ = log₄ 800
x³ = 800
x = 2
2log₃ (x-2) - log₃ (x+1) = 1
log₃ (x-2)² - log₃ (x+1) = 1
log₃ (x-2)² = log₃ 3 + log₃ (x+1)
log₃ (x-2)² = log₃ 3(x+1)
x² - 4x + 4 = 3x + 3
x² - 7x + 1 = 0
D = (-7)² - 4 = 45
x₁ =
x₂ =
log₄ (x-4) + log₄ (x+4) = log₄ (3x+2)
log₄ (x-4)(x+4) = log₄ (3x+2)
x² - 16 = 3x+2
x² - 3x - 18 = 0
По теореме Виета:
x₁ = -3
x₂ = 6