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Given 4x - 4x - 1 = 24 ⇒ 4x – (4x/ 41) = 24 [Since a m - n = am / an] ⇒ 4x [1 – (1/ 4)] = 24 ⇒ 4x [3/4)] = 24 ⇒ 4x = 24 × (4/3) = 32⇒ (22)x = 25 ⇒ 22x = 25 Comparing both the sides we get 2x = 5 Hence x = 5/2Now consider, (2x)x = [2(5/2)]5/2 = [5)]5/2 = [55]1/2 = √55 = 25√5
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Given 4x - 4x - 1 = 24 ⇒ 4x – (4x/ 41) = 24 [Since a m - n = am / an] ⇒ 4x [1 – (1/ 4)] = 24 ⇒ 4x [3/4)] = 24 ⇒ 4x = 24 × (4/3) = 32⇒ (22)x = 25 ⇒ 22x = 25 Comparing both the sides we get 2x = 5 Hence x = 5/2Now consider, (2x)x = [2(5/2)]5/2 = [5)]5/2 = [55]1/2 = √55 = 25√5
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