1. 4.8 Solve Exponential and Logarithmic Inequalities
Test over on
Friday 2/22/13

2. Solving Exponential Inequalities… Let’s review exponentials
Remember what an exponential graph looks like? Graph
Solve.

3. Example 1: OR Asymptote? Vertical Horizontal Solve 4x + 1 > 32
Step 1: Write the equation that corresponds to inequality.
Step 2: Solve for x.
Step 3: plot the x-value on a number line and test intervals or use your knowledge of the graph. OR
Asymptote?
Horizontal
Vertical

4. Example 1:
Solve 4x + 1 > 32
[1.5, ∞)

5. You Try: Solve the exponential inequality 32x – 1 < 4

6. Solving Logarithmic Inequalities…
Remember what an logarithmic graph looks like? Graph
Solve.

7. Example 2: OR Asymptote? Vertical Horizontal
Solve the logarithmic inequality
log5x < 2
Step 1: Write the corresponding equation
Step 2: solve for x.
Step 3: plot the x-value on a number line and test intervals or use your knowledge of the graph. OR
Asymptote?
Horizontal
Vertical

8. How many x-values should you plot on the number line?
Example 2:
Solve the logarithmic inequality
log5x < 2
WATCH OUT!
How many x-values should you plot on the number line?

9. Example 2 Cont’d: [64, ∞) Solve the logarithmic inequality
log4x + 8 > 11
[64, ∞)

10. You Try: Solve the logarithmic inequalities log62x + 7 < 10

11. You Try: Page 168 (changed signs)
Solve the logarithmic inequalities
13. log9(x – 1) < 1.5
14. 2log4(x + 3) – 1 < 5

12. HOMEWORK
Page 167 #1-6, 10-15