Mathematics

Mathematics

Problem

Let f:R→Rf: \mathbb{R} \to \mathbb{R} be a function defined by f(x)=log⁡m{2(sin⁡x−cos⁡x)+m−2}f(x) = \log_{\sqrt{m}} \{\sqrt{2}(\sin x - \cos x) + m - 2\}, for some mm, such that the range of ff is [0,2][0, 2]. Then the value of mm is (a) 5 (b) 3 (c) 2 (d) 4

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