∙ For a number x{\displaystyle x}, the power to which a given base number must be raised in order to obtain x{\displaystyle x}. Written logbx{\displaystyle \log _{b}x}. For example, log101000=3{\displaystyle \log _{10}1000=3} because 103=1000{\displaystyle 10^{3}=1000} and log216=4{\displaystyle \log _{2}16=4} because 24=16{\displaystyle 2^{4}=16}. mathematics