If 1 / 2 (log p + log q) = log ((p + q) / 2), then which relationship between a and b would be correct?
If 1 / 2 (log p + log q) = log ((p + q) / 2), then which relationship between a and b would be correct? Correct Answer p = q
Given, 1 / 2 (log p + log q) = log ((p + q) / 2) ➩ 1 / 2 log (pq) = log ((p + q) / 2) ➩ log (pq)1/2 = log ((p + q) / 2) ➩ (pq)1/2 = (p + q) / 2 ➩ pq = ((p + q) / 2)2 ➩ 4pq = p2 + q2 + 2pq ➩ P2 + q2 + – 2pq = 0 ➩ (p – q)2 = 0 ➩ p – q = 0 ➩ p = q
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Feb 20, 2025