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Solving Exponential Equations

Solving Exponential Equations. One-to-One Properties. Inverse Properties. General strategies for solving exponential equations. Isolate the exponential expression. Use the one-to-one property. Example 1: Solve 4 e 2x = 16. Isolate the exponential expression.

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Solving Exponential Equations

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  1. Solving Exponential Equations

  2. One-to-One Properties

  3. Inverse Properties

  4. General strategies for solving exponential equations • Isolate the exponential expression. • Use the one-to-one property.

  5. Example 1: Solve 4e2x = 16 Isolate the exponential expression. Take the natural log of both sides. Apply the inverse property. Solve for x.

  6. Example 2: Solve 5ex+2 – 8 = 14 Isolate the exponential expression. Take the natural log of both sides. Apply the inverse property. Solve for x.

  7. Try This • Solve ex-2 – 7 = 59

  8. Example 3: Solve 3x + 1 = 5 Isolate the exponential expression. Take the log of both sides. Apply the power property. Solve for x.

  9. Example 4: Solve e2x – ex – 20 = 0 Replace exwith u to help us factor. Apply the Zero Product Property.

  10. Example 4: Solve e2x – ex – 20 = 0 Continued Solve for x. excan’t be negative

  11. Try This • Solve e2x – 3ex + 2 = 0

  12. Class Practice • 4e2x = 5 • 72x = 1/49 • 32x-1 = 27 • 8(10)3x = 12 • 23-x = 565

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