The number of integral solutions x of ${\log }_{\left(x+\frac{7}{2}\right)}{\left(\frac{x-7}{2x-3}\right)}^{2}\geq 0$ is ________ . [JEE Main 2023, 11 Apr (Shift 1)]

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The number of integral solutions x of \({\log }_{\left(x+\frac{7}{2}\right)}{\left(\frac{x-7}{2x-3}\right)}^{2}\geq 0\) …

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