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JEE Math Practice Question

If $${{dy} \over {dx}} + {{{2^{x - y}}({2^y} - 1)} \over {{2^x} - 1}} = 0$$, x, y > 0, y(1) = 1, then y(2) is equal to :

  1. A.$$2 + {\log _2}3$$
  2. B.$$2 + {\log _3}2$$
  3. C.$$2 - {\log _3}2$$
  4. D.$$2 - {\log _2}3$$

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