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How does a computer/calculator compute logarithms?


Summer of Math Exposition 3 - How does a computer/calculator compute logarithms?

For a quick refresher, a polynomial is an expression involving at least one variable (usually $x$) and addition, subtraction, multiplication, division, and integer power operators. I learned about different techniques of coding mathematical formulae that avoided weird edge cases that would either create an inaccurate result or throw an error despite a calculable value existing. I have always been interested in how things like this work; when I was younger, I was the curious student who got frustrated when something logical and grounded in structured patterns was given to us like a magic wand where one push of a button gave you the answer you sought.

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