• zmudz
Suppose that $$f(x)$$ and $$g(x)$$ are functions which satisfy $$f(g(x)) = x^2$$ and $$g(f(x)) = x^3$$ for all $$x \ge 1$$. If $$g(16) = 16$$, then compute $$\log_2 g(4)$$. (You may assume that $$f(x) \ge 1$$ and $$g(x) \ge 1$$ for all $$x \ge 1$$.)
Mathematics

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