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MathNet 2008-part-05 — 164 problems (EN–VI) Question 67

Math Olympiad Vault · MathNet 2008-part-05 — 164 problems (EN–VI)

Question 67

Find the product of all real $x$ for which
$$
2^{3x+1} - 17 \cdot 2^{2x} + 2^{x+3} = 0
$$