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More Exponential and Logarithmic Equations We’re right in with more practice problems in Sec. 3.5b.

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Presentation on theme: "More Exponential and Logarithmic Equations We’re right in with more practice problems in Sec. 3.5b."— Presentation transcript:

1 More Exponential and Logarithmic Equations We’re right in with more practice problems in Sec. 3.5b

2 Solve Multiply both sides of the equation by

3 Solve Let Quadratic Formula!!!

4 Solve Because is always positive, we reject the possibility that has the negative value Can we verify this answer graphically???

5 Solve When solving logarithmic equations, you may introduce extraneous solutions, or even lose some valid solutions! Method 1 – Use the one-to-one property of logarithms.

6 Solve When solving logarithmic equations, you may introduce extraneous solutions, or even lose some valid solutions! Method 2 – Change the equation to exponential form.

7 Solve When solving logarithmic equations, you may introduce extraneous solutions, or even lose some valid solutions! Method 3 – Use the power rule of logarithms. An incorrect solution!!! Check the graph???

8 Solve x = 1/2 or 2 Extraneous!!! SupportGraphically!!!

9 Guided Practice Solve the given equation.

10 Guided Practice Solve the given equation. Multiply both sides by :

11 Guided Practice Solve the given equation.

12 Guided Practice Solve the given equation.

13 Guided Practice Solve the given equation. Use the quad. form.!!!

14 Guided Practice Solve the given equation. In the original equation, x must be positive, so the only actual solution:


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