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Solving Exponential and Logarithmic Equations There are lots of them in Sec. 3.5a.

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Presentation on theme: "Solving Exponential and Logarithmic Equations There are lots of them in Sec. 3.5a."— Presentation transcript:

1 Solving Exponential and Logarithmic Equations There are lots of them in Sec. 3.5a

2 But first, a couple of new properties One-to-One Properties For any exponential function Ifthen For any logarithmic function Ifthen

3 For each of the following, find the exact solution algebraically, and check it by substituting into the original equation. A One-to-One Prop!!! The check???

4 For each of the following, find the exact solution algebraically, and check it by substituting into the original equation. A One-to-One Prop!!! The check???

5 Whiteboard: For each of the following, find the exact solution algebraically, and check it by substituting into the original equation. The check???

6 Whiteboard: For each of the following, find the exact solution algebraically, and check it by substituting into the original equation. The check???

7 For each of the following, find the exact solution algebraically, and check it by substituting into the original equation. The check???

8 Solve each of the following equations algebraically. Obtain a numerical approximation for your solution and check it by substituting into the original equation. What if we had just converted the original equation into logarithmic form???

9 Whiteboard: Solve each of the following equations algebraically. Obtain a numerical approximation for your solution and check it by substituting into the original equation.

10 Whiteboard: Solve each of the following equations algebraically. Obtain a numerical approximation for your solution and check it by substituting into the original equation.

11 Whiteboard: Solve each of the following equations algebraically. Obtain a numerical approximation for your solution and check it by substituting into the original equation.


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