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Bellwork: Get a sheet from the front desk and complete
Turn in the assignment from last class if you have not already
Exponential Equations
Recall: These are equations of the form y=abx-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=2x
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=3x
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 +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 -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 +4
÷3÷3-1 -1
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)