Objective: In this lesson you learned how to solve exponential and logarithmic equations. |
Course Number Instructor Date |

I. Introduction (Page 417)State the One-to-One Property for exponential equations. State the One-to-One Property for logarithmic equations. State the Inverse Properties for exponential equations and for logarithmic equations. Describe how the One-to-One Properties and the Inverse Properties can be used to solve exponential and logarithmic equations.
(a) Solve for
x. |
What you should learnHow to solve simple exponential and logarithmic equations |

II. Solving Exponential Equations (Pages 418-419)Describe how to solve the exponential equation 10 ^{x} = 90 .Example 2: Solve e ^{x-2} - 7 = 59 for x. Round to three decimalplaces. |
What you should learnHow to solve more complicated exponential equations |

III. Solving Logarithmic Equations
(Pages 420-421)Describe how to solve the logarithmic equation
Solve 4 ln 5x = 28 for x. Round to three decimal places. |
What you should learnHow to solve more complicated logarithmic equations |

IV. Applications of Exponential and Logarithmic Equations(Pages 422-423) Example 4: Use the formula for continuous compounding,A = Pe ^{rt} , to find how long it will take $1500 totriple in value if it is invested at 12% interest, compounded continuously. |
What you should learnHow to use exponential and logarithmic equations to model and solve real-life applications |

Homework AssignmentPage(s) Exercises |