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IPMAT Indore 2024 - QA (MCQ) Q23 Explanation
November 24, 2024
Explanation:
(d) Given a = (log7 4)(log7 5−log7 2)/(log7 25)(log7 8−log7 4)
⇒a = 2log72× (log7 5−log7 2)/2log75 x log7 2
⇒a = log7 5−log7 2/log7 5
⇒ a = 1−log5 2
⇒ 1–a = log5 2
⇒ 2 = 5^(1−a) (converting log form into exponential form)
⇒ 2 = 5. 5^−𝑎 = 5/5a
⇒5^a = 5/2 . Ans