Log Scale

  • Log isolates exponents, $log(2^3) = 3 log 2$
  • $log(xy) = log(x) + log(y)$
  • $log(\frac{x}{y}) = log(x) - log(y)$
  • Log scale is used where there is fold change.
    I.e. 8 times greater than 1 is 8
    and 8 times less that 1 is 1/8
    But on the scale they are not same distance from 1
    But if we take log of them
    then $log(8)$ is 3 times greater from $log(1)$
    and $log(\frac{1}{8})$ is 3 times less from $log(1)$
    So the scale becomes comparable