Logarithmic functions

A function is logarithmic if it has this algebraic expression:

Its domain is (0,∞) and its range is R, and it has no symmetry. It is decreasing if 0 < a < 1, or increasing if a > 1, in its domain. It has no extrema. The graph always contains  (1,0).

Examples:

 

 

 

Exercise: draw the graph of f(x) =  log₂x

 

 

 

 

 

 

 

 

Solution: