# AIME 2015 Problem 4

Geometry Level 3

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

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