log left(x^{2}-7 x+11right)

Question

log left(x^{2}-7 x+11right)<0

Accepted Answer

Step:1 ：Rewrite the inequality as: (x^2 - 7x + 10 < 0)Step:2 ：Find the roots of the quadratic equation: (x^2 - 7x + 10 = 0)Step:3 ：Use the quadratic formula: (x = frac{-b pm sqrt{b^2 - 4ac}}{2a}) where a = 1, b = -7, and c = 10Step:4 ：Calculate the roots: (x_1 = 2.0) and (x_2 = 5.0)Step:5 ：Since the inequality is less than 0, find the interval between the roots where the inequality holds trueStep:6 ：(boxed{2 < x < 5})

Answer

Step: 1 ：Rewrite the inequality as: (x^2 - 7x + 10 < 0)Step: 2 ：Find the roots of the quadratic equation: (x^2 - 7x + 10 = 0)Step: 3 ：Use the quadratic formula: (x = frac{-b pm sqrt{b^2 - 4ac}}{2a}) where a = 1, b = -7, and c = 10Step: 4 ：Calculate the roots: (x_1 = 2.0) and (x_2 = 5.0)Step: 5 ：Since the inequality is less than 0, find the interval between the roots where the inequality holds trueStep: 6 ：(boxed{2 < x < 5})

$\log \left(x^{2}-7 x+11\right)< 0$

Answer

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