How is the ancient puzzle related to the inverse function for y=3^x in problem 5‑53? show how you can use the idea in the ancient puzzle to write an equation in y= form for the inverse y=3^x function of .

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.