1. What strategy did you use to solve for x?
Minds On…
Solve for 𝑥:
8𝑥 −6=− 𝑥+9= 𝑥 =12
Using inverse operations
What strategy did you use to solve for x?

2. Solving Equations Using Rational Exponents
LG: I can rearrange and solve equations with rational exponents

3. Solving for a Base in a Power
Inverse operations can be used to solve equations with exponents. Remember that a radical is the inverse of power
Example 1: 𝑥 4 =16
x =
𝑥= 4 16
𝑥=2

4. Example 2: 𝑥 3 2 =27 x = 𝑥= 𝑥= 3 2 𝑥=9
Try This:
𝑥 3 =

5. TRY THIS. A lab technician starts with 1 salmonella bacterium
TRY THIS! A lab technician starts with 1 salmonella bacterium. She uses the equation 𝑃= 2 3𝑡 to model the population, P, after t hours. Use the equation to determine when there will be 1000 bacteria in the population
Trial and error or find a common base

6. Solve by Finding a Common Base
Equality of Powers: If 𝑎 𝑚 = 𝑎 𝑛 , then 𝑚=𝑛 5 𝑥 = 𝑥 =32 7 3𝑥 −4 =49 3 5𝑥+8 = 27 𝑥 2 2(𝑥−5) = 4 3𝑥−1 9 𝑥+1 = 27 𝑥

7. Practice Questions
Pg. 377 #10 Pg. 384 #1-7