The number of ordered pairs \( (\alpha, \beta) \), where \( \alpha, \beta \in[0 \), \( 2 \pi] \)....

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The number of ordered pairs \( (\alpha, \beta) \), where \( \alpha, \beta \in[0 \),
\( \mathrm{P} \)
\( 2 \pi] \) satisfying \( \log _{2 \sec x}\left(\beta^{2}-6 \beta+10\right)=\log _{3}|\cos \alpha| \) is
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