1. Change & Evaluate the following Logarithmic Equations to Exponential Equations.

2. Objective: (1) Graphing Exponential Growth Functions (2) Using Exponential Growth Models. Agenda: 03/03/15 1.) Warm-up 2.) Questions: WS Simplifying Logs 3.) Lesson 8.4 Continue 4.) Class/Homework TB pg. 490: #’s 48 – 64 ALL,65 – 76 ODD 5.) Work With Your Neighbor STAY ON TASK!!!

3. 8.4 Logarithmic Functions Goal 2: Graphing Logarithmic Functions MORE SPECIAL LOGARITHMIC VALUES Let b be a positive real number such that b ≠ 1. log b b x = x (LEARN THESE VALUES)

4. 8.4 Logarithmic Functions Continued Ex. 4Use the special values to simplify the following expressions

5. 8.4 Logarithmic Functions Continued Ex. 5Finding INVERSES of logarithmic functions Step 1) Interchange x and Y Step 2) Write as an Exponential Equations

6. 8.4 Logarithmic Functions Continued Graphing Logarithmic Functions a = Initial x – intercept b = base if b > 1, then graph moves up to the right if 0 < b < 1, then graph moves down to the right h = horizontal shift and vertical asymptote k = vertical shift Domain: x > h Range: All real numbers

7. 8.4 Logarithmic Functions Continued Ex. 6For the following graphs give all the details and then draw the picture. a = 1 b = 10 (b > 1, up to the right) h = 0 k = 0 Domain: x > 0 Range: All real numbers 123456

8. 8.4 Logarithmic Functions Continued Ex. 7For the following graphs give all the details and then draw the picture. a = 1 b = 5 (b > 1, up to the right) h = 2 k = 0 Domain: x > 2 Range: All real numbers 64281012 -2 -4 -6

9. 8.4 Logarithmic Functions Continued 8.For the following graphs give all the details and then draw the picture. a = 1 b = e (b > 1, up to the right) h = - 1 k = - 2 Domain: x > - 1 Range: All real numbers x – intercept: set y = 0 0 = ln(x + 1) – 2 2 = ln(x + 1) e 2 = x + 1 6.4 ≈ x 1234567 -2 -3

10. 8.4 Logarithmic Functions Continued Ex. 9For the following graphs give all the details and then draw the picture. a = 1 b = e (b > 1, up to the right) h = 2 k = 0 Domain: x > 2 Range: All real numbers 64281012 -2 -4 -6

11. 8.4 Logarithmic Functions Continued Ex. 10For the following graphs give all the details and then draw the picture. a = 1 b = 1/3 (0<b<1, up to the left) h = 0 k = -1 Domain: x > 0 Range: All real numbers 1234567 -2 -3

12. HOMEWORK Page 490: 49 – 75 ODD, 79 & 81