Pre-Cal 40S April 22, 2009
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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.

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

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Pre-Cal 40S April 22, 2009 Pre-Cal 40S April 22, 2009 Presentation Transcript

  • The Natural Logarithm ... Overgrown Redwood Log and Wildflowers
  • Now lets solve some logarithmic equations ...
  • Now lets solve some logarithmic equations ... View slide
  • And now, solve these logarithmic equations ... View slide
  • And now, solve these logarithmic equations ...
  • And now, solve these logarithmic equations ...
  • 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):
  • 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):
  • 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):
  • 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):
  • 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?