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Explore the fundamentals of likelihood functions in statistical inference. Learn about their properties, applications in various probability distributions, and role in modern data science.

This is the first article in the knowledge base.

When preparing for quantitative trading interviews, you're bound to encounter seemingly simple mathematical concepts that have profound implications. One such concept is understanding why the base-10 logarithm of a number, $\log_{10}(n)$, effectively gives the number of digits in $n$ minus 1.

This idea might seem abstract at first, but it's a critical tool for mental math, time complexity analysis, and even number theory — all of which are relevant in quant trading interviews. In this post, we’ll break down why this happens, step-by-step, so you can walk into your next interview with confidence.