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# Exponential and Logarithmic Equations

 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.Example 1: (a) Solve for x. (b) Solve 5x = 0.04 for x. What you should learn How to solve simple exponential and logarithmic equations II. Solving Exponential Equations (Pages 418-419) Describe how to solve the exponential equation 10x = 90 . Example 2: Solve ex-2 - 7 = 59 for x. Round to three decimal places. What you should learn How to solve more complicated exponential equations III. Solving Logarithmic Equations (Pages 420-421) Describe how to solve the logarithmic equation Example 3: Solve 4 ln 5x = 28 for x. Round to three decimal places. What you should learn How 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 = Pert , to find how long it will take \$1500 to triple in value if it is invested at 12% interest, compounded continuously. What you should learn How to use exponential and logarithmic equations to model and solve real-life applications Homework Assignment Page(s) Exercises