If a² + b² = 23ab, show that : log (log a + log b).

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ a² + b² = 23ab ⇒ a² + b² + 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).

Mathematics

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

Logarithms

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