Exponential/logarithmic scaling in Illustrator?

Given a flat object in Illustrator, how can I scale it along the X or Y axis so that it stretches in an exponential fashion? That means that the center barely is stretched, but the outer extents stretch much more? I know there are some warp effects, but those seem to affect both axes.

Answer

Scaling the object using guides:

I made this template which contains the exponential/logarithmic lines.

Create a new letter size Document in Illustrator and Place the template.

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Because in this case I’m going to use the exponential lines, we are going to lock it and hide the logarithmic lines.

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Import your flat object into Illustrator.

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Select your object and go to Object > Envelope Distort > Make with Mesh.

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Depending on the orientation of the scaling, insert 13 and 1 respectively.

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Now, that you applied the Envelope Distort to the object, Align each row/column of anchors with the template.

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Result:

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Attribution
Source : Link , Question Author : Keavon , Answer Author : Rosenthal

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