Proof WritingMediumContrapositive and Contradiction ShareContrapositive and Contradiction · Medium problemSuppose log37=pq\log_3 7 = \dfrac pqlog37=qp with positive integers p,qp, qp,q. Then 3p=7q3^p = 7^q3p=7q. Why is this impossible?A3p3^p3p is even, but 7q7^q7q is oddB3p3^p3p is divisible by 333, but 7q7^q7q is notC3p<7q3^p < 7^q3p<7q for all positive integers p,qp, qp,qD3p3^p3p can end in the digit 111, but 7q7^q7q never doesCheck Show answer Walk through it step by step Practice more like this Review this concept