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Lesson 10.5 Base e and Natural Logs ( ln )

( inverse of ln ). ( inverse of e ). Lesson 10.5 Base e and Natural Logs ( ln ). Natural Base ( e ):. Natural Base Exponential Function:. Natural Logarithm ( ln ):. Example 2 Evaluate Natural Logs. a) b). Example 1 Evaluate Natural Bases. a) b). 0.2231. 7.3891.

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Lesson 10.5 Base e and Natural Logs ( ln )

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

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

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

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

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

  6. Example 7 Base 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 7 Base 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)

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