An exponential curve is any of the formExamples are given below.
All exponential curveshave the property of passing through the pointwhatever the value ofThere is a very special number, labelledcalled the natural base.is labelled .
Typically we have to solve equations of the form: If we substitute we obtain the normal quadratic equationwhich we can solve using either the quadratic formula or factorising and solving. The equation above factorises asso we solveto obtain
Again we substitute, this time,The above equation becomesThis factorises intoso we solveto obtain
There is no real value of so the only solution here is