If a 2 + b 2 = 23ab, show that : log (log a + log b).

Given, ⇒ a 2 + b 2 = 23ab ⇒ a 2 + b 2 + 2ab = 23ab + 2ab ⇒ (a + b) 2 = 25ab ⇒ = ab ⇒ = ab Taking log on both sides, we get : ⇒ log = log ab ⇒ 2 log = log a + log b ⇒ log = (log a + log b). Hence, proved that log = (log a + log b).