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Suppose that the tangent line to the graph of f(x) = x^b^x at x = 1 is equal to the tangent line to the graph

Suppose that the tangent line to the graph of f(x) = x^b^x at x = 1 is equal to the tangent line to the graph of g(x)=4sin(1 e^5x) at x = 0. What is the value of the + constant b, and what is the equation of the tangent line?

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