Recall: These are equations of the form y=ab x-h +k, ones where the ‘x’ is in the exponent Recall: These are equations of the form y=ab x-h +k, ones where the ‘x’ is in the exponent

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

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

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

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)

Let’s find some inverses EX2: 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) +1

Let’s find some inverses EX3: 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) -3

Let’s find some inverses EX4: 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) +4 ÷3÷3 ÷3÷3

Intro to Logs: In Class Practice (Assignment) Write the exponential function as a logarithm Write the logarithm as an exponential function Determine the inverse of the function 1)2)3) 4)5)6) 7)8)9) 10)11)12)