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Max Planck 1858–1947

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Metals, machines and models

mathskit

Using natural logarithms

Use log–linear graphs to solve problems in radioactive decay and capacitor discharge

In the last Mathskit (PHYSICS REVIEW Vol. 25, No. 1, pp. 28–29) I explained how to use log–log graphs. The technique will work equally well whether you use common logarithms or natural logarithms — just so long as you are consistent and don’t mix them up in the same equation. Sometimes, however, only natural logarithms will do.

The examples I am going to use in this article are both second-year A-level topics — radioactive decay and capacitor discharge. In each of these new examples we will need to plot a log–linear graph, in order to solve equations of the form:

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Max Planck 1858–1947

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Metals, machines and models

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