Log–log plot: Difference between revisions

Revision as of 14:39, 28 June 2019

Revision as of 15:28, 28 June 2019

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== Equations ==

The equation for a line on a log–log scale would be:

:<math> \log_{10}F(x) = m \log_{10}x + b, </math>

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For ''m''&nbsp;=&nbsp;−1, the integral becomes <math> A_{(m=-1)} = \int_{x_0}^{x_1} F(x) = \int_{x_0}^{x_1} \frac {\mathrm{constant}}{x} = \frac{F_0}{x_0^{-1}} \int_{x_0}^{x_1} \frac {1}{x} = F_0 \cdot x_0 \cdot \ln x: [x_0,x_1] </math>

noklo

: <math> A_{(m=-1)} = F_0 \cdot x_0 \cdot \ln \frac{x_1}{x_0}</math>

== Applications ==