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MathNet 2018-part-05 — 181 problems (EN–VI) Question 154

Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)

Question 154

What is the value of the function $f(x) = \log_{3}\left(\frac{\sin\left(\frac{x \pi}{2}\right)}{\log_{\frac{1}{2}} 2^{x}}\right)$ at $x = -3$?

(A) 0
(B) -3
(C) does not exist
(D) 1
(E) -1