If 3(log 5 - log 3) - (log 5 - 2 log 6) = 2 - log x, find x.

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KnowledgeBoat · Accepted Answer

Given, ⇒ 3(log 5 - log 3) - (log 5 - 2 log 6) = 2 - log x ⇒ 3log 5 - 3log 3 - log 5 + 2 log 6 = 2 - log x ⇒ 2log 5 - 3log 3 + 2log 6 = 2 - log x ⇒ 2log 5 - log 3³ + log 6² = 2 - log x ⇒ log 5² - log 27 + log 36 + log x = 2 ⇒ log 25 + log 36 + log x - log 27 = 2 ⇒ log = 2 ⇒ ⇒ 100x = 3 × 10² ⇒ 100x = 300 ⇒ x = = 3. Hence, x = 3.

Mathematics

If 3(log 5 - log 3) - (log 5 - 2 log 6) = 2 - log x, find x.

Logarithms

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