1. Natural Logarithms/Base e Unit 9

2. Definition The exponential function is called the natural exponential function and e is called the natural base.

3. The natural logarithmic function which is abbreviated, is the inverse of the natural exponential function. Take the “ln” of both sides in order to create an inverse with e.

4. Examples Evaluate for each value of x. Round to the nearest thousandths. 1.) x = 52.) x = -3 3.) x = 1/2

5. Examples Find lnx for each value of x. Round to the nearest thousandths. 1.) x = 5 2.) x = -3 3.) x=1/2

6. Evaluate

7. Simplify

8. Write an equivalent exponential or logairthmic equation.

9. Homework Book Page 397 #12-59 all