Logarithmic functions

Say if the following functions are increasing or decreasing:

  1. $\displaystyle f(x)=\log_{\frac{1}{3}} x$
  2. $\displaystyle f(x)=\log_{\frac{2}{3}} x$
  3. $\displaystyle h(x)=\log_{3}x$
  1. The logarithmic functions are increasing if its base is greater than $1$ and decreasing if $a < 1$. Therefore the function is decreasing.
  2. Decreasing.
  3. Increasing.
  1. Decreasing.
  2. Decreasing.
  3. Increasing.
Back to topic