Show that 2 numbers are of the same order

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given following equation:

$x^D \leq Ax^B \leq Dx^D$

i want to show that $B \approx D$

I split the inequality into two parts.

  1. $x^D \leq Ax^B$
  2. $Ax^B \leq Dx^D$

I'm not sure, from the first part I can see that D is bigger than B. but I can't prove it, I think it's simple, I'm not sure.