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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