Exponential function y = aˣ and logarithmic function y = logₐx

MathematicsFunctions & GraphsAges 16–17

The graphs of y = aˣ and y = logₐx are reflections of each other across the line y = x. Drag point M on the exponential graph and its mirror point M' moves on the logarithmic graph; drag the a-slider to see the function increasing for a > 1 and decreasing for 0 < a < 1. The application modes model population growth and radioactive decay, using logarithms to find the doubling time or the half-life.