Basic descriptions

In which of these bases does there not exist a self-descriptive number?

Note: A self-descriptive number \(\overline{x_0 x_1...x_{b-1}}\) in base \(b\) is a number \(b\) digits long that contains \(x_0\) \(0\)'s, \(x_1\) \(1\)'s, and so on.

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