Maths Olympiad Prep

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, 2025

Algebra Difficulty 2.2 Junior Find the answer Canada

If 43=8a4^3 = 8^a, the value of
aa is

Pick one

Solution

Since 43=4×4×4=644^3=4\times4\times4=64
and 82=8×8=648^2=8\times8=64, then 43=824^3=8^2, and so a=2a=2.

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