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

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Presentation transcript:

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

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

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???

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???

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

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

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

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???

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

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

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