How do I create a logarithmic scale graph and determine line spacing?

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When creating a logarithmic scale graph, the dimensions of the graph do not need to be logarithmized; only the values plotted should reflect the logarithmic scale. For example, a Distance x Force graph can use standard units without converting them to logarithmic values. Logarithmic graphs typically feature uneven line spacing that follows a pattern based on powers of ten, such as divisions at 10M, 20M, and so on. If logarithmic graph paper is unavailable, approximate spacing can be achieved with sets of three lines at key intervals. Understanding these principles will help in accurately representing data on a logarithmic scale.
Leonardo Machado
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Hello every one.

Today's question is: if I'm writte a graph using logarithm scale, must i use the dimensions of the graph "logarithmized" too ?

i.e : A Distance x Force graph must have its dimensions as log (m) x log (N) ? or it is just valid for the module ?

Thanks for the tips
 
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If the units you are using already have the logarithm build it (ex, dB), then your graph will have evenly spaced divisions representing those units. For example, you may have a division after every 0.5 dB and every unit dB labelled along the edge.

Otherwise, you would normally use a logarithmic graph where the lines spacing varies and repeats a pattern after every power of ten (assuming it's a base 10 log). So you might have lines at 10M, 20M, 50M, 100M, 200M, etc, and the spacing between the lines would be proportional to the log of the ratio of the values represented by those lines.

If you don't have logarithmic graph paper, you can get an approximate with sets of three regularly spaced line at 10, 20, 50, 100.

If that's not your question, try again.
 
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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