6'7 Solving Equations and Modeling

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6.7 Solving Equations and Modeling
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Essential Question How can exponents and
logarithms be used to solve mathematical and real
world problems? Objectives Solve logarithmic
and exponential equations by using algebra and
graphs. Model and solve real-world problems
involving exponential and logarithmic
relationships.
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Summary of Exponential-Logarithmic Definitions
And Properties
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Solve each equation for x. Write the exact
solution and the approximate solution to the
nearest hundredth, when appropriate.
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GEOLOGY The magnitude, M, of an earthquake is
5.2. Find the energy, E, in ergs released by the
earthquake. Use the equation
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A graphics calculator is a useful tool for
solving problems involving exponential and
logarithmic functions.