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Solving Exponential Equations

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Solving Exponential Equations

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  1. Example 1: Solve the equation . Solving Exponential Equations • An exponential equation is an equation with a variable as part of an exponent. The following examples will show how to solve this type of equation. • Method A Take a log base 3 of each side. Use the inverse property.

  2. The solution is . To find the answer as a decimal (nearest hundredth), use the change of base formula on the calculator. The answer is . Solving Exponential Equations Slide 2

  3. Solving Exponential Equations • Method B Original problem. Take the natural log of each side. Use the Power property. Divide each side by ln 3. • Note that the result is the same as that found using method A. Slide 3

  4. Solve the following equation. Solving Exponential Equations • Example 2: Get the exponential expression on the left side by itself. Slide 4

  5. Solving Exponential Equations Now solve using one of the two methods. Method A Method B Slide 5

  6. Solving Exponential Equations Method B is the best way to solve an exponential equation that has a non-integer base. Consider the following equation: Solve using Method B Slide 6

  7. Solving Exponential Equations END OF PRESENTATION Click to rerun the slideshow.

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