1. Lesson 10.5Base e and Natural Logs (ln) Natural Base (e): Natural Base Exponential Function: ( inverse of ln ) Natural Logarithm (ln): ( inverse of e )

2. Example 1Evaluate Natural Bases a) b) 7.3891 0.2231 Example 2Evaluate Natural Logs a) b) 1.3863 -2.9957

3. Example 3Basic Equations a) b) Example 4Base – Base (inverse property) a) b)

4. Example 5Solve Base e Equations a) b)

5. Example 6Natural Log Equations / Inequalities a) b) c) d) {6, 2}

6. Example 7Base e Applications [A] Suppose you deposit $700 into an account paying 6% compounded continuously. i) How much will you have after 8 years? ii)How long will it take to have at least $2000? (round to the tenth of a year)

7. Example 7Base e Applications [B] Suppose you deposit $1000 into an account paying 5% compounded continuously. i) How much will you have after 10 years? ii)How long will it take to triple your money? (round to the tenth of a year)