Question

lg(x^2-5x+6)=lg(2x-6)

Answer 1

lg(x² - 5x + 6) = lg(2x - 6)
x² - 5x + 6 = 2x - 6
x² - 7x + 12 = 0
x₁ = 3     x₂ = 4 - по теореме, обратной теореме Виетта
ОДЗ:
1) x² - 5x + 6 > 0                                          2) 2x - 6 > 0
   (x - 3)(x - 2) > 0                                             x > 3

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         +           2               -              3            +
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Ответ: 4