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Exponential Equations

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Presentation on theme: "Exponential Equations"— Presentation transcript:

1 Exponential Equations
Section 5.6 Logarithmic and Exponential Equations Copyright © 2013 Pearson Education, Inc. All rights reserved

2 Solve logarithmic equations. Solve exponential equations.
Objectives Solve logarithmic equations. Solve exponential equations. Copyright © 2013 Pearson Education, Inc. All rights reserved

3 Copyright © 2013 Pearson Education, Inc. All rights reserved

4 Recall: Copyright © 2013 Pearson Education, Inc. All rights reserved

5 Reminder: The domain of logarithmic functions is positive numbers only so check for extraneous solutions. Copyright © 2013 Pearson Education, Inc. All rights reserved

6 Both solutions are in the domain of the log functions.
Copyright © 2013 Pearson Education, Inc. All rights reserved

7 So the only solution is x=6
Domain: x>4 So the only solution is x=6 Copyright © 2013 Pearson Education, Inc. All rights reserved

8 Both solutions are valid in the original domain!
Copyright © 2013 Pearson Education, Inc. All rights reserved

9 Recall: Copyright © 2013 Pearson Education, Inc. All rights reserved

10 Copyright © 2013 Pearson Education, Inc. All rights reserved

11 Copyright © 2013 Pearson Education, Inc. All rights reserved

12 Copyright © 2013 Pearson Education, Inc. All rights reserved

13 Homework: 5.6 #5-47 odd Copyright © 2013 Pearson Education, Inc. All rights reserved


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