Exponentials

Exponentials

1. Logarithms (the inverse of exponentials)

   • This type of logarithm is only associated with Exponential Growth
   • This type of logarith is only associated with Exponential Decay
   • The decimal logarithm
   • The natural logarithm
   • REMEMBER in order to find the value of a log we we need to be given 2 numbers
   • 3rd tool Logarithmic PROPERTIES (e.g.
     • Equation ? Just logarithmize the two sides because when
       • Logarithmic Equations...don't forget to reject or accept the values by plugging them in the equation and observing whether the sign is positive or negative.
   • 1st tool graphical/geometrical
   • 2nd tool turn it into an exponential

2. y=b when b>0, b 1

   • This type of exponential is called Exponential Growth
     • y=e when e=2.71
       • The natural exponential function

3. y=b when 0<b<1

   • This type of exponential is called Exponential Decay
     • Both of those exponentials pass through the point A(0,1)

4. Exponentials may also be given as

   • V = the intial sth

5. Exponential Equations