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  anchorContext: 'Specifically, if a number $x$ is $n$ digits long \\(in decimal\\_notation\\), then its logarithm \\(base 10\\) is between $n-1$ and $n$\\. This follows directly from the definition of the logarithm: $\\log_{10}(x)$ is the number of times you have to multiply 1 by 10 to get $x;$ and each new digit lets you write down ten times as many numbers\\. Thus, the number of digits you need to write $x$ is close to the number of times you have to multiply 1 by 10 to get $x$\\. The only difference is that, when using digits to write numbers down, you only get to use whole digits, whereas when computing logs, you can multiply 1 by 10 fractionally\\-many times\\.',
  anchorText: 'lets you write down ten times as many number',
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  text: 'I think you may need to spell out this 10 times as many numbers part. This is a large unexplained step in explaining why the log is the length.',
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