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.
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:
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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