Let \( \alpha \) and \( \beta \) are the solutions of the equation \( (\sqrt{\mathrm{x}})^{\log ...

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Let \( \alpha \) and \( \beta \) are the solutions of the equation \( (\sqrt{\mathrm{x}})^{\log _{5} x-1}=5 \) where \( \alpha \in \mathrm{I} \) and \( \beta \in \mathrm{Q} \). Then
[Use: \( \log _{10} 2=0.3010, \log _{10} 3=0.4771 \) ]
The number of significant digits before decimal in \( (\alpha)^{10} \) is
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