Question Id : 13214 |
Context : JEE Main 2023 (25 January Evening Shift)
Let $f:\mathbb{R}\to\mathbb{R}$ be a function defined by
$f(x)=\log_{\sqrt{m}}\!\left(\sqrt{2}(\sin x-\cos x)+m-2\right)$, for some $m$, such that the range of $f$ is $[0,2]$.
Then the value of $m$ is ______
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