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basic_tools:logarithm [2018/03/28 12:32] jakobadmin |
basic_tools:logarithm [2020/04/02 18:14] (current) 74.98.242.130 [Abstract] |
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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. | ||
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+ | 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> | ||
<tabbox Concrete> | <tabbox Concrete> | ||
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<tabbox Abstract> | <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 Why is it interesting?> | <tabbox Why is it interesting?> | ||
- | <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. | ||
- | <cite>[[https://betterexplained.com/articles/demystifying-the-natural-logarithm-ln/|Demystifying the Natural Logarithm (ln)]] by Kalid Azad</cite></blockquote> | ||
</tabbox> | </tabbox> | ||