A geometry problem by Bryan MW

Geometry Level 3

Suppose \(\triangle CEF\) is equilateral, \(CP\), \(CQ\), \(AP\), \(DP\), \(DQ\) and \(BQ\) are all of the same length, 19 units. Find \(x\) if the length of \(BD\) is \(19^{x}\).

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