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JEE Advanced Mathematics question

MathematicsBasic Mathematics and LogarithmJEE Advanced

If then the values of are ( being an integer)

Answer: (B)

Solution

For the logarithms to exist: , , , . So lies in the first quadrant (mod ). Since ,

x = ( x · 2 x x) ⇒ x = 2 x x ⇒ x =

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Question ID VK-110379