Discrete Math Quiz
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LOGIC AND PROOF
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In attempting to prove by contradiction that log⁡23\log_2 3 is irrational, a student assumes log⁡23=pq\log_2 3 = \frac{p}{q} where pp and qq are integers with q≠0q \neq 0 and gcd⁡(p,q)=1\gcd(p,q) = 1. After converting to exponential form, which equation should the student obtain?
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