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# Pre-Cal 40S April 22, 2009

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More solving logarithmic equations and a gentle introduction to the number e.

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### Pre-Cal 40S April 22, 2009

1. 1. The Natural Logarithm ... Overgrown Redwood Log and Wildflowers
2. 2. Now lets solve some logarithmic equations ...
3. 3. Now lets solve some logarithmic equations ...
4. 4. And now, solve these logarithmic equations ...
5. 5. And now, solve these logarithmic equations ...
6. 6. And now, solve these logarithmic equations ...
7. 7. Properties of exponential functions a>1 For example, let's look at Properties of the exponential growth function Domain: Range: Root(s): y-intercept: Increasing of Decreasing: Concavity: Asymptote(s):
8. 8. Properties of exponential functions As an example let's look at 0<a<1 Properties of the exponential decay function Domain: Range: Root(s): y-intercept: Increasing or Decreasing: Concavity: Asymptote(s):
9. 9. Properties of logarithmic functions For example, let's look at a > 0, a ≠ 1 Properties of the logarithmic growth function Domain: Range: Root(s): y-intercept: Increasing of Decreasing: Concavity: Asymptote(s):
10. 10. Properties of logarithmic functions 0<a<1 As an example we'll look at Properties of the logarithmic decay function Domain: Range: Root(s): y-intercept: Increasing of Decreasing: Concavity: Asymptote(s):
11. 11. Who wants to be a millionaire? What is compound interest? How does this formula quot;workquot;? How much money will you have after 5 years if you invest \$300.00 at 6% interest compounded annually? monthly?