Let"s take a closer look at the difference between semi-log và log-log graphs.

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Plotting on Logarithmic Paper

Logs are helpful when plotting certain types of data. There are two types of log graphs that can be used when plotting data. 

Semi-log Graph

The first is called a semi-log graph. In a semi-log graph the y-axis is logarithmic, which means the seperation between the ticks on the graph is proportional lớn the logarithm of numbers. The x-axis has a linear scale, which means the ticks are evenly spaced.


A semi-log graph is useful when graphing exponential functions. Consider a function of the size y = bax. When graphed on semi-log paper, this function will produce a straight line with slope log (a) & y-intercept b.

Example: Plot the function y = 5x on an ordinary axis (x- and y- linear scales) as well as on a semi-log axis. 

Solution: Both functions below:


Log-log Graph

The second type is called a log-log graph. In a log-log graph, both the x-axis và the y-axis are logarithmic.

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This is useful for determining power relationships. If a function of the form y = axn is graphed on log-log paper, a straight line will be produced, with slope n và y-intercept log (a).

Semi-Log Graph Example:

Log-Log Graph Example:

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