The number of solutions of the equation |x−4|x2−10x+24x−3=1 is

x2−10x+24x−3log⁡|x−4|=0∴x=4,6and |x−4|=1⇒x=3,5But x = 3, 4 are not permissiblex=5,6 are roots

x2−10x+24x−3log⁡|x−4|=0∴x=4,6and |x−4|=1⇒x=3,5But x = 3, 4 are not permissiblex=5,6 are roots

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The number of solutions of the equation $| x - 4 |^{(\frac{x^{2} - 10 x + 24}{x - 3})} = 1$ is

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infinitely many

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$(\frac{x^{2} - 10 x + 24}{x - 3}) \log | x - 4 | = 0 ∴ x = 4, 6$
and $| x - 4 | = 1 \Rightarrow x = 3, 5$

But x = 3, 4 are not permissible

x=5,6 are roots

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