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On every exponential curve y=bx(b>0,b1), there is exactly one point ( x0, y0) at which the tangent line to the curve passes through the origin.

On every exponential curve y=bx(b>0,b1), there is exactly one point ( x0, y0) at which the tangent line to the curve passes through the origin. Show that in every case, y0=e.

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