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JEE Advanced Mathematics question

MathematicsBasic Mathematics and LogarithmJEE Advanced

Let be the solution of the following equations

= , = .

Then is

Answer: (C)

Solution

Write , and take logarithms of both equations.

First equation: , i.e.

( - ( = u 2 - v 3. (1)

Second equation: , so .

Substituting (2) in (1):

( - ( = u

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Question ID VK-110792