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I understand the properties of logarithms. However I am curious if a calculator uses complex power series, slide rule program, Taylor series, or a form of an algorithm to solve for log"base"n(x).

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marked as duplicate by user296602, colormegone, Gerry Myerson, JonMark Perry, Lucian Feb 19 '16 at 8:18

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    $\begingroup$ One way or the other, read up on CORDIC (en.wikipedia.org/wiki/CORDIC). It's amazing how all calculator functions can use the same algorithm: exp/log, sqrt, trig/hyperbolic trig, its inverse functions,... all just different parameters, same algorithm. Ingenious, really. $\endgroup$ – orion Feb 19 '16 at 7:58

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