The range of the function, \( y=\log _{\sqrt{7}}(\sqrt{2}(\sin x-\cos x)+5) \) is (a) \( R \) (b...

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The range of the function, \( y=\log _{\sqrt{7}}(\sqrt{2}(\sin x-\cos x)+5) \) is
(a) \( R \)
(b) \( Z \)
(c) \( \left[\log _{7} 4, \log _{7} 5\right] \)
(d) \( \left[2 \log _{7} 3,2\right] \)
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