AIME 2015 Problem 4

Geometry Level 3

In an isosceles trapezoid, the parallel bases have lengths log3\log 3 and log192\log 192, and the altitude to these bases has length log16\log 16. The perimeter of the trapezoid can be written in the form log2p3q\log 2^p 3^q, where pp and qq are positive integers. Find p+qp + q.


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