Which Graph Paper to Use for Power Relationships: Semi-Log vs Log-Log?

Thread starter JyN
Start date Apr 7, 2011
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Graphs Log

In summary, a semi log graph has one axis on a logarithmic scale and the other on a linear scale, while a log-log graph has both axes on a logarithmic scale. Semi log graphs are best used when one axis has a much larger range of values, while log-log graphs are ideal when both axes have similar ranges. To plot data on these graphs, logarithms of the values must be taken. The advantages of using these graphs include better visualization of data with large value ranges and the ability to see smaller differences between data points. However, limitations may arise when dealing with a large number of zero values or for those unfamiliar with logarithmic scales.

Apr 7, 2011

JyN

After collecting data from an experiment and realizing that there is a power relationship, how do u know if u need to use semi log graph paper or log-log paper to graph your data?

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Apr 7, 2011

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MHB

You'll need log-log for a relation like y=b.x^a,
and you'll need semi-log for a relation like y=b.a^x.

Related to Which Graph Paper to Use for Power Relationships: Semi-Log vs Log-Log?

What is the difference between a semi log graph and a log-log graph?

A semi log graph has one axis on a logarithmic scale and the other axis on a linear scale, while a log-log graph has both axes on a logarithmic scale. This means that the numerical values on a semi log graph increase by a constant factor, while on a log-log graph they increase by a constant percentage.

When should a semi log graph be used instead of a log-log graph?

A semi log graph should be used when one axis has a much larger range of values than the other. This allows for a more even distribution of data points on the graph, making it easier to interpret the data. A log-log graph should be used when both axes have a similar range of values.

How do I plot data on a semi log or log-log graph?

To plot data on a semi log graph, you will need to take the logarithm of the values on the axis that is on a logarithmic scale. For a log-log graph, you will need to take the logarithm of both axes. Then, you can plot the transformed data on the graph as usual.

What are the advantages of using a semi log or log-log graph?

One advantage of using a semi log or log-log graph is that it can help to better visualize data that has a large range of values. This allows for easier comparison of data points and can reveal patterns or trends that may not be apparent on a linear scale graph. Additionally, a log scale can help to compress large values, making it easier to see smaller differences between data points.

Are there any limitations to using semi log or log-log graphs?

While semi log and log-log graphs can be useful for visualizing data, they may not always be appropriate. For example, if the data has a large number of zero values, a log scale may not accurately represent the data. Additionally, interpreting data on a logarithmic scale may be more challenging for those who are not familiar with it.