If log 2 = 0.3010 and log 3 = 0.4771; find the value of log 3.6.

Question

KnowledgeBoat · Accepted Answer

Simplifying the expression, ⇒ log 3.6 ⇒ log ⇒ log 36 - log 10 ⇒ log (12 × 3) - log 10 ⇒ log 12 + log 3 - log 10 ⇒ log (2² × 3) + log 3 - log 10 ⇒ log 2² + log 3 + log 3 - log 10 ⇒ 2 log 2 + 2 log 3 - 1 ⇒ 2 × 0.3010 + 2 × 0.4771 - 1 ⇒ 0.6020 + 0.9542 - 1 ⇒ 1.5562 - 1 ⇒ 0.5562 Hence, log 3.6 = 0.5562

Mathematics

If log 2 = 0.3010 and log 3 = 0.4771; find the value of log 3.6.

Logarithms

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