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Warm-Up: February 12, 2013. Solve for x. Give both an exact solution and a decimal approximation (3 decimal places). Homework Questions?. The Natural Base, e. Section 6.6. Essential Questions. What are e and ln ? How can we use e and ln to solve equations?. The Natural Base.
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Warm-Up: February 12, 2013 • Solve for x. Give both an exact solution and a decimal approximation (3 decimal places).
The Natural Base, e Section 6.6
Essential Questions • What are e and ln? • How can we use e and ln to solve equations?
The Natural Base • Remember π? • π is always 3.14… • e is an irrational number, just like π • e is always 2.718… • e is called the natural base
Natural Logarithms • A natural logarithm is a logarithm with base e • Notation: ln x = logex
TI-83 • [LN] button is below [LOG] button • [2nd] [LN] for e^(
You-Try #1 • Use your calculator to evaluate the following:
Log Properties with ln • All properties of logarithms still apply to natural logarithms, including:
Example 2 • Solve for x. Give both an exact solution and a decimal approximation (three decimal places).
You-Try #2 • Solve for x. Give both an exact solution and a decimal approximation (three decimal places).
Assignment • Page 397 #13-59 odd