# Critical area

Calculus Level 4

Let $$(A_x, A_y)$$ be a point on the curve $$y=e^x$$ such that the area of the region bounded by the $$y$$-axis, the line $$y=A_y,$$ and the curve $$y = e^{x}$$ is $$10^6.$$

Find $$A_x$$ to 2 decimal places.

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