By solving this we get one root as 4 and another as 2^-1/3, which is irrational. So both option 1 and 3 are correct then.
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Academic discussion and doubt solving for: Logarithms, Set Theory, Matrices & Determinants, Permutation & Combination, Probability, Binomial Theorem
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The question most probably presumes the word "only" so like only one solution which is irrational or only 2 real solutions. Anyways report the question