# Gaussian curve, x is a log scale

Hello!
If I have the gaussian function, but x is a loarithmic scale. Can I infer that, if x was plotted using a regualr scale, that the function would be 'fairly' linear? At least initially? As the rate of change gradually increases befor slowing down again. I think this is reasonable... I don't know how to try and represent it mathematically.

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HallsofIvy
$$y= ae^{-x^2}$$