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Let x= x(y) be the solution of the diffe...

Let `x= x(y)` be the solution of the differential equation `2(y+2)log_e(y+2) dx+(x+4-2log_e(y+2))dy=0, y gt -1` with `x(e^4 -2)=1`. Then `x(e^9 -2)` is equal to

A

`32/9`

B

`4/9`

C

`10/3`

D

3

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