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<blockquote style="position: relative; padding-left: 55px;"><section><a href="https://mathstodon.xyz/users/caten/statuses/114133471842463500">Charlotte Aten (caten@mathstodon.xyz)'s status on Monday, 10-Mar-2025 02:08:41 JST</a><a href="https://mathstodon.xyz/@caten" title="caten@mathstodon.xyz"><img src="https://gnusocial.jp/avatar/304685-48-20241214072653.webp" width="48" height="48" alt="Charlotte Aten" style="position: absolute; left: 0; top: 0;">Charlotte Aten</a></section><article><p>Why don't we write the logarithm like this? It feels like teaching students what logarithms are is way more painful than teaching roots, but this notation emphasizes that they are perfectly analogous.</p><p>I can provide my rough <a href="https://mathstodon.xyz/tags/TexLatex" rel="tag">#TexLatex</a> source for this if people are interested.</p><p><a href="https://mathstodon.xyz/tags/math" rel="tag">#math</a> <a href="https://mathstodon.xyz/tags/teaching" rel="tag">#teaching</a> <a href="https://mathstodon.xyz/tags/notation" rel="tag">#notation</a></p></article><footer><a rel="bookmark" href="https://gnusocial.jp/conversation/4702102#notice-9207551">In conversation</a><time datetime="2025-03-10T02:08:41+09:00" title="Monday, 10-Mar-2025 02:08:41 JST">about a month ago</time> <span>from <span><a href="https://mathstodon.xyz/@caten/114133471842463500" rel="external" title="Sent from mathstodon.xyz via ActivityPub">mathstodon.xyz</a></span></span><a href="https://mathstodon.xyz/@caten/114133471842463500">permalink</a><h4>Attachments</h4><ol><li><label><a rel="external" href="https://gnusocial.jp/attachment/4271255">Five typeset equations. The first shows how squaring a number and taking its square root cancel each other out. The second shows the analogous thing for exponentiation and the logarithm, but an upside-down radical symbol take the place of the usual "log" notation. The third equation shows this also, but places a small "e" in the radical to indicate that the base is in fact Euler's number. The last two equations show the rules for how products and exponents interact with logarithms using this new notation.</a></label><br><a href="https://media.mathstodon.xyz/media_attachments/files/114/133/445/374/683/906/original/215ba98e8bef8688.png" rel="external">https://media.mathstodon.xyz/media_attachments/files/114/133/445/374/683/906/original/215ba98e8bef8688.png</a></li></ol></footer></blockquote>

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Charlotte Aten (caten@mathstodon.xyz)'s status on Monday, 10-Mar-2025 02:08:41 JST Charlotte Aten
Why don't we write the logarithm like this? It feels like teaching students what logarithms are is way more painful than teaching roots, but this notation emphasizes that they are perfectly analogous.
I can provide my rough #TexLatex source for this if people are interested.
#math #teaching #notation
In conversationabout a month ago from mathstodon.xyzpermalink
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1. Five typeset equations. The first shows how squaring a number and taking its square root cancel each other out. The second shows the analogous thing for exponentiation and the logarithm, but an upside-down radical symbol take the place of the usual "log" notation. The third equation shows this also, but places a small "e" in the radical to indicate that the base is in fact Euler's number. The last two equations show the rules for how products and exponents interact with logarithms using this new notation.
  https://media.mathstodon.xyz/media_attachments/files/114/133/445/374/683/906/original/215ba98e8bef8688.png

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