The range of the function is

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

The range of the function f(x)=log⁡2(2−log⁡2(16sin⁡2x+1))f(x)=\log_{\sqrt{2}}\left(2-\log_2(16\sin^2x+1)\right) is (a) (−∞,1)(-\infty,1) (b) (−∞,2)(-\infty,2) (c) (−∞,1](-\infty,1] (d) (−∞,2](-\infty,2]

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