Base Equation

Find the value of \(n\) such that the following equality holds:

\[\large\overline{(n-1) (n-2) (0)}_n = \overline{(n-2) (n-3) (1)}_{n+1}, \qquad |n| > 3\]

Clarification: The subscript indicates number base. \((n-1),(n-2), (0),\ldots\) are digits of the number.


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