Maths Olympiad Prep

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, 2010

Algebra Difficulty 3.0 AMC 10/12 Prove it Canada

Determine all real values of xx for which 3(x1)932x2=273^{(x-1)} 9^{\frac{3}{2x^2}} = 27.

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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. Solutions are the publisher's, linked not copied.