Mathematics - Quadratic Equation Question with Solution | TestHub

MathematicsQuadratic EquationInequationMedium2 minPYQ_2023

MathematicsMediumsingle choice

The solution set of $(x - 2)^{x^{3} - 6 x + 8} > 1$ is

Options:

Answer:

Solution:

Clearly $x > 2$ . Write the given inequality
as
$(x^{2} - 6 x + 8) lo g (x - 2) > 0 \Leftrightarrow (x - 2) (x - 4) lo g (x - 2) > 0 \Leftrightarrow (x - 4) lo g (x - 2) > 0 [∴ x > 2]$

Stream:JEESubject:MathematicsTopic:Quadratic EquationSubtopic:Inequation

⏱ 2mℹ️ Source: PYQ_2023

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