basic_tools:logarithm
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basic_tools:logarithm [2017/12/16 12:49] jakobadmin created |
basic_tools:logarithm [2020/04/02 18:14] (current) 74.98.242.130 [Abstract] |
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| ====== Logarithm ====== | ====== Logarithm ====== | ||
| - | <tabbox Why is it interesting?> | ||
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| + | <tabbox Intuitive> | ||
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| <blockquote>Given how the natural log is described in math books, there’s little “natural” about it: it’s defined as the inverse of $e^x$, a strange enough [[basic_tools:exponential_function|exponent]] already. | <blockquote>Given how the natural log is described in math books, there’s little “natural” about it: it’s defined as the inverse of $e^x$, a strange enough [[basic_tools:exponential_function|exponent]] already. | ||
| But there’s a fresh, intuitive explanation: The natural log gives you the time needed to reach a certain level of growth. | But there’s a fresh, intuitive explanation: The natural log gives you the time needed to reach a certain level of growth. | ||
| <cite>[[https://betterexplained.com/articles/demystifying-the-natural-logarithm-ln/|Demystifying the Natural Logarithm (ln)]] by Kalid Azad</cite></blockquote> | <cite>[[https://betterexplained.com/articles/demystifying-the-natural-logarithm-ln/|Demystifying the Natural Logarithm (ln)]] by Kalid Azad</cite></blockquote> | ||
| - | + | <tabbox Concrete> | |
| - | <tabbox Layman> | + | |
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| - | <tabbox Student> | + | |
| * The best introduction is [[https://betterexplained.com/articles/demystifying-the-natural-logarithm-ln/|Demystifying the Natural Logarithm (ln)]] by Kalid Azad | * The best introduction is [[https://betterexplained.com/articles/demystifying-the-natural-logarithm-ln/|Demystifying the Natural Logarithm (ln)]] by Kalid Azad | ||
| + | * See also [[https://betterexplained.com/articles/think-with-exponents/|How To Think With Exponents And Logarithms]] by Kalid Azad and [[https://betterexplained.com/articles/using-logs-in-the-real-world/|Using Logarithms in the Real World]] by Kalid Azad | ||
| - | <tabbox Researcher> | + | <tabbox Abstract> |
| + | Some things go up really fast, like the number of cases of coronavirus in March. Some things go down really fast, like the stock market in March. | ||
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| + | Logarithms are a way to flatten exponential curves, so we can see and understand their structure, even when dealing with extreme/exponential growth. | ||
| <note tip> | <note tip> | ||
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| - | <tabbox Examples> | + | <tabbox Why is it interesting?> |
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| - | <-- | ||
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| - | <tabbox FAQ> | ||
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| - | <tabbox History> | ||
| </tabbox> | </tabbox> | ||
basic_tools/logarithm.1513424983.txt.gz · Last modified: 2017/12/16 11:49 (external edit)
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