1. Exponential and Logarithmic Equations
Lesson 5.6

2. Solving Exponential Equations Graphically
Given
Graphical Solution
Graph each side of the equation
Use calculator to find intersection
y = 0.5
y = 0.1 (10x)

3. Solving Exponential Equations Symbolically
Given
Isolate the coefficient with the exponent
Take log of both sides
Use logarithm properties
Use division x

4. Try It Out Given 3(2 x – 2) = 99 Part of class solve graphically
Part of class solve symbolically

5. Logarithmic Equation Consider ln 4x = 1.5 Symbolic solution
Raise to the power of the base
Use property of logarithms
Use Division

6. Logarithmic Equation Graphical solution of ln 4x = 1.5
As before graph both sides of the equation
y = ln 4x y = 1.5
Use calculator to find intersection

7. Will they ever meet again?
Try It Out
Given
Part of class solve graphically
Part of class solve symbolically
Will they ever meet again?
Now what?

8. Applications
Gambling revenues (in billions $) from 1991 to 1995 can be modeled by
x is the year, x = 0 is 1991
When did revenues reach $45 billion?

9. Assignment
Lesson 5.6
Page 426
Exercises 1 – 47 EOO and 51 – 67 odd