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Problem 46

Number theory Difficulty 1.1 Multiple choice CEMC Pascal · Canada · 2026

In the equation 2+2+2+2=2x2+2+2+2=2^x,
what is the value of xx?

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Official solution

Evaluating the left side of the given equation, we get 2+2+2+2=82+2+2+2=8. Since 23=82^3=8, then x=3x=3.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.