nikhil43 nikhil43

13-08-2019
Mathematics

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If log(4)5 = a, log(5)6 = b, then prove that: log(3)2 = 2ab-1

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buncealexis99ozhd2m buncealexis99ozhd2m

13-08-2019

Answer:

⇒log4(5)×log5(6)=ab

⇒log4(6)=ab

⇒log(6) / log(4)=ab

⇒log(2×3) / log(4)=ab

⇒log(2)+log(3)l / log(4)=ab

⇒(1/2)+log(3) / 2log(2)=ab

⇒log(3) / 2log(2) =ab−(1/2)

⇒log2(3)=2(ab−1/2)=2ab−1

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