Mathematics

Mathematics

Problem

A point P(2,4)P(2, 4) lies on the graph of the function f(x)=2xf(x) = 2^{x}. Let QQ be the corresponding point on the graph of g(x)g(x), where g(x)g(x) is the inverse function of f(x)f(x). Calculate the length of the line segment PQPQ.

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