A logarithmic scale measures orders of magnitude rather than equal absolute differences.
WHAT HAPPENS IF…With base 10, what happens when the input grows from 10 to 100?
Interactive exploration
Loading the mathematical model…
Connect the picture to the ideay=logbx⟺by=x(b>0,b=1,x>0)
Multiplying an input by b increases its logarithm by 1. More generally, log_b(xy)=log_bx+log_by for positive x,y. This makes logarithms useful for wide numerical ranges. This explorer uses bases at least 2 and strictly positive inputs.