3.4 Solving Exponential and Logarithmic Equations

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3.4 Solving Exponential and Logarithmic Equations
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In General

• If you start with an exponential equation you
  rewrite in log form
• or
• you take the log of both sides
• If you start with a log equation you rewrite in
  exponential form.
• In both cases, use your properties to solve

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Solving Exponential Equations
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• 2)

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• 4)

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• 5)

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• 7)

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• 8)

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Solving Logarithmic Equations
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• 10)

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• 11)

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• 12)

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• 13)

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• 14)

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Doubling an Investment

• You have deposited 500 in an account that pays
  6.75 interest, compounded continuously. How
  long will it take you money to double?

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Average Salary for Public School Teachers

• For selected years from 1985 to 2004, the average
  salary y (in thousands of dollars) for public
  school teachers for the year t can be modeled by
  the equation
• y-1.562 14.584 ln t, 5t24.
• where t 5 represents 1985. During which
  year did the average salary for public school
  teachers reach 44,000?

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Homework

• Page 221 224
• 18-28 even, 29-37 odd, 45-69 odd, 86-104 even,
  131, 137