Lesson 10.5Base e and Natural Logs (ln)

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Lesson 10.5 Base e and Natural Logs (ln)
Natural Base (e)
Natural Base Exponential Function
Natural Logarithm (ln)
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Example 1 Evaluate Natural Bases
a) b)
0.2231
7.3891
-2.9957
1.3863
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Example 3 Basic Equations
a) b)
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Example 5 Solve Base e Equations
a) b)
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Example 6 Natural Log Equations / Inequalities
a) b)
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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)
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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)