1. Solving Exponential Equations II LG: I can use trial and error to solve exponential equations

2. Using your Calculator to Solve Exponentials Equations Rational exponents can be calculated on a calculator using the button Example: To find the 7 th root of 983, you would type: How could you do the same calculation without using ?

3. Recall: Solving for a base using inverse operations x 3 = 216x 1/3 = -3 4x 2 = 1003x 2 + 2 = 149 Practice: x 4 = 8117x 1/4 = 209 2x 3 – 9 = -25

4. Recall: Solving for an exponent by finding a common base 2 x = 2 9 2 3x-3 = 2 9 3 x = 9 x+2 Practice: 3 2x -7 = 3 -x 4 x+24 = 64 3x

5. Minds On… Solve for x : 9 x+2 = 27 2x

6. Solving exponential equations using trial and error 3 x = 57 x = 612 x =

7. Application A lab technician can model the growth of bacteria using the equation P = 72(2) x, where P is the total population after x hours There are currently 72 cells in the population. Use the equation to estimate when there will be 648 cells

8. Application The formula for Compound Interest is: A = P(1+i) n $25000 was invested for 3 years in an account that pays interest compounded annually. If the investment was worth $28500 after three years, what was the interest rate?

9. Homework Complete ‘Solving Exponential Equations’ Handout