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Today in precalculus

Today in precalculus. Go over homework Notes: Solving Exponential Equations Homework. Steps to Solving Exponential Equations. Isolate the term with the variable exponent using algebra. Take the log of both sides (or convert to a log equation) Use properties of logs Solve for the unknown.

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Today in precalculus

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  1. Today in precalculus • Go over homework • Notes: Solving Exponential Equations • Homework

  2. Steps to SolvingExponential Equations • Isolate the term with the variable exponent using algebra. • Take the log of both sides (or convert to a log equation) • Use properties of logs • Solve for the unknown.

  3. Example 5x = 358 log5x =log358 xlog5=log358 x = 3.654

  4. Example 3ex - 6 = 48 3ex = 54 ex = 18 lnex= ln18 x=ln18 x = 2.890

  5. Practice

  6. x = -1.839

  7. 2. 6e2x + 10 = 46 6e2x = 36 e2x = 6 2x = ln6 x = .896

  8. 3. 10e-x + 45 = 83 10e-x = 38 e-x = 3.8 -x = ln3.8 -x = 1.335 x = -1.335

  9. ex + 2e-x = 3 ex + 2e-x – 3 = 0 ex(ex + 2e-x – 3 = 0) e2x – 3ex + 2e0 = 0 e2x – 3ex + 2= 0 (ex – 2)(ex – 1) = 0 ex = 1 ex = 2 x = ln1 x = ln2 x = 0, .693

  10. ex – e-x = 10 ex – e-x – 10 = 0 ex(ex– e-x – 10 = 0) e2x – 10ex – e0 = 0 e2x – 10ex– 1 = 0 ex = 10.099 ex = -.099 x = ln10.099 x = ln(-0.099) x = 2.312

  11. Homework • Page 331: 1-6, 11-16, 29-33 • Quiz Friday, January 10

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