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If a differential equation , dy/dx+(2^(x...

If a differential equation , `dy/dx+(2^(x-y)(2^y-1))/(2^x-1)=0 & y(1)=1` then the value of `y(2) is :

A

`2+log_(2)3`

B

`2+log_(3)2`

C

`2-log_(3)2`

D

`2-log_(2)3`

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