Converting Errors for Logarithmic Graphs for Scientists

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When creating a logarithmic graph for a lab report, it's essential to accurately represent error bars for the variables involved. To convert errors from I and T into errors for Log(I) and Log(T), one must apply the rules of logarithmic differentiation. The behavior of errors in logarithmic transformations differs from linear values, necessitating careful calculations. For clarity, it may be beneficial to create two separate graphs to depict the relationships accurately. Properly addressing these conversions ensures the integrity of the data presented in the report.
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I think this is probably the right place to put it, didn't really fit anywhere else.

I've got the joyless task of writing a lab report at university and need to put a graph in it, ideally with error bars. I don't have a problem with error bars normally, but I'm coming unstuck about what to do in this case.

I have the equation: ln\frac{I_{REF}}{I} = \frac{-hv}{k}[\frac{1}{T_{REF}} - \frac{1}{T}]. This is in the form y=mx.

If I were to have values for the errors in I and T, how would I convert these into the errors of Log(I) and Log(T) and thus graph them?
 
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I don't see your logarithm on the right, but you can handle them as usual just take the logarithm beforehand, except the behaviour of errors is different from the general behaviour of the value. In that case two separate graphs might be useful.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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