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<h1>Benford's law</h1>


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    Randomly choose a number from a <a href="https://en.wikipedia.org/wiki/Frequency_distribution">frequency distribution</a>.
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    How likely the number's leading digit is $d$ (in a base-$b$ <a href="https://en.wikipedia.org/wiki/Numeral_system">numeral system</a>)?
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    <div class="slider-label">$b$</div>
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$$
p(d)= 
  \begin{cases}
        \log_b \big(1+\frac{1}{d}\big), & \text{if $d = 1, 2, \cdots, b-1$,} \\
        0,                           & \text{otherwise.}
  \end{cases}
$$
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