Double Logarithmic Scale: Find/Create Equation

In summary, to create an equation for a straight line on a double logarithmic scale graph, you would use the formula y = m*log*log x + b, where m is the slope and b is the y-intercept. When plotting on log-log paper, you would plot the actual x and y values, not their logarithms. The b value can be determined by looking at the equation of a straight line on a graph.
  • #1
Snow178
2
0
double log scale - please help

I am trying to find/create the equation for a straight line on a double logarithmic scale graph - what is the format of the equation or how do I do this using data points from the graph.
 
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  • #2
If you mean a log-log graph, a straight line would be [itex]\log y=m\cdot\log x + b[/itex]. If you mean a double-log graph, a straight line would be [itex]y = m\cdot\log\log x + b[/itex]. Simplify these as you see fit.
 
  • #3
Yes - it is for the equation log y= m*logx+b - how do I generate this equation from a straight line on a log-log graph - particularly not sure about b.
 
  • #4
If the paper is log log, then what you really want is the "y" values for the vertical axis, and the "x" values for the horizontal axis. Each of your coordinates should range over at least one magnitude; otherwise, you probably will not obtain a line. If the result is not a line, then the use of log log paper was probably not the correct choice (but then this is what you are trying to find out). Note carefully, you are plotting the x and y values here on log log paper - NOT their logarithms.
 
  • #5
Snow178 said:
Yes - it is for the equation log y= m*logx+b - how do I generate this equation from a straight line on a log-log graph - particularly not sure about b.

Well, you plot logx against logy, in the same way that you would plot x against y. If you have an equation for a straight line y=mx+b, what would b be?
 

1. What is a double logarithmic scale?

A double logarithmic scale is a type of graph or chart where both the x-axis and the y-axis use logarithmic scales. This means that the increments on the axes increase by a certain factor, rather than a constant amount.

2. How do you create a double logarithmic scale?

To create a double logarithmic scale, you will need to use a logarithmic scale for both the x-axis and the y-axis. This means that you will need to calculate the logarithm of the values for each axis and then plot them on the graph. Alternatively, you can use a software program or online tool that allows you to create a double logarithmic scale graph.

3. What are the benefits of using a double logarithmic scale?

A double logarithmic scale is useful for displaying data that covers a wide range of values. It allows for a greater visual representation of the data, as the logarithmic scale compresses the data towards the lower end of the graph while expanding it towards the higher end. This can make it easier to identify trends and patterns in the data.

4. Can you find the equation for a double logarithmic scale?

Yes, you can find the equation for a double logarithmic scale by using the formula: y = a*log(x) + b, where a and b are constants. However, the equation will vary depending on the specific data and scale used for the graph.

5. When should a double logarithmic scale be used?

A double logarithmic scale should be used when the data being displayed covers a wide range of values and there is a need to show the relationships between them. It is commonly used in scientific and financial data, where there may be exponential growth or decay present in the data.

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