Meaning of the Slope/Gradient of an Exponential Function Displayed on a Logarithmic Scale

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I am currently dealing with data that is almost exponential. An exponential function shows as a line if plotted on a single logarithmic ordinate. To proof that it is of almost exponential behaviour I plotted the data set in a diagram with a single logarithmic ordinate. This line displayed has a gradient or - for it's a line - a slope. I am comparing two different data sets. The slope of the two data sets differ from one another.

Does anybody know what kind of information I can take out the gradient / slope of the line of an exponential function displayed in a single logarithmic ordinate?

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Thank you!