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basic_tools:logarithm [2017/12/16 12:51] jakobadmin [Student] |
basic_tools:logarithm [2018/03/28 12:32] jakobadmin |
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====== Logarithm ====== | ====== Logarithm ====== | ||
- | <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. | + | <tabbox Intuitive> |
- | <cite>[[https://betterexplained.com/articles/demystifying-the-natural-logarithm-ln/|Demystifying the Natural Logarithm (ln)]] by Kalid Azad</cite></blockquote> | + | |
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- | <tabbox Layman> | + | |
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- | <tabbox Student> | + | <tabbox Concrete> |
* 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 | * 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> |
<note tip> | <note tip> | ||
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- | <tabbox Examples> | + | <tabbox Why is it interesting?> |
- | --> Example1# | + | <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> |
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- | --> Example2:# | + | |
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- | <-- | + | |
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- | <tabbox FAQ> | + | |
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- | <tabbox History> | + | |
</tabbox> | </tabbox> | ||