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Section 4.4 Logarithmic Scales

Section 4.4 Logarithmic Scales. Plot the distances on a number line. If you haven’t already, try plotting the data on an axis labeled 10 0 , 10 1 , 10 2 , 10 3 , and so on How do you decide where to put each planet on this scale? Can we fit all the planets now?

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Section 4.4 Logarithmic Scales

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  1. Section 4.4Logarithmic Scales

  2. Plot the distances on a number line

  3. If you haven’t already, try plotting the data on an axis labeled 100, 101, 102, 103, and so on • How do you decide where to put each planet on this scale? • Can we fit all the planets now? • In order to fit all the planets on this scale you must convert their distances to powers of 10 • How do we do this? • Recall • What we have created is a logarithmic scale

  4. Use of logs to fit an exponential function to data • Consider the following table of data • Create a scatter plot with your calculator • What form does the data have?

  5. We can use logarithms to make this data linear • Make a scatter plot of x vs. ln(y) • How does the data look? • Find both the exponential and linear regression functions

  6. In your groups try problems 12 and 15

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