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[Music] Oh stat quest hello and welcome to stat quest stat quest is brought to you by the friendly folks in the genetics department at the University of North Carolina at Chapel Hill today were going to be talking about logs and were going to do everything we can to make sure that theyre clearly explained lets start with an ordinary number line going from zero to eight its no big deal eight four two and one are all easily re-written as powers of two the other numbers on the number line like seven six or five they can also be written as powers of two it just isnt as neat and tidy even pie can be written as a power of two now lets convert this access into a log base two access to do that you take the log base two of the numbers on the Left lets see how thats done and to do that lets start at the top so well take the log base two of eight the first and really only step in calculating a log is to simply rewrite the number as a power of two in this case we rewrite 8 as 2 to the t
