Exponential Equations

1. Bellwork: Get a sheet from the front desk and completeTurn in the assignment from last class if you have not already

2. Recall: These are equations of the form y=abx-h+k, ones where the ‘x’ is in the exponent Exponential Equations

3. x = the power you raise 2 to in order to get 8 x = the power you raise 2 to in order to get 5 x = the power you raise 2 to in order to get 4 y=2x

4. x = the power you raise 3 to in order to get 9 x = the power you raise 3 to in order to get 4 x = the power you raise 3 to in order to get 1 y=3x

5. x = the power you raise 2 to in order to get 5 x = the power you raise 3 to in order to get 4 Logarithms!

6. Let’s find some inverses EX1: STEP 1: Replace f(x) with y. STEP 2: Switch x and y. STEP 3: Solve for y. STEP 4: Replace y with f-1(x)

7. Let’s find some inverses EX2: STEP 1: Replace f(x) with y. STEP 2: Switch x and y. STEP 3: Solve for y. +1 +1 STEP 4: Replace y with f-1(x)

8. Let’s find some inverses EX3: STEP 1: Replace f(x) with y. STEP 2: Switch x and y. STEP 3: Solve for y. -3 -3 STEP 4: Replace y with f-1(x)

9. Let’s find some inverses EX4: STEP 1: Replace f(x) with y. STEP 2: Switch x and y. STEP 3: Solve for y. +4 +4 -1 -1 ÷3 ÷3 STEP 4: Replace y with f-1(x)

10. Intro to Logs: In Class Practice (Assignment)