exponential equations
DESCRIPTION
Bellwork: Get a sheet from the front desk and complete Turn in the assignment from last class if you have not already. Recall: These are equations of the form y= ab x-h +k , ones where the ‘x’ is in the exponent. Exponential Equations. x = the power you raise 2 to in order to get 8. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Exponential Equations](https://reader036.vdocuments.us/reader036/viewer/2022062520/56815f31550346895dce00d3/html5/thumbnails/1.jpg)
Bellwork: Get a sheet from the front desk and complete
Turn in the assignment from last class if you have not already
![Page 2: Exponential Equations](https://reader036.vdocuments.us/reader036/viewer/2022062520/56815f31550346895dce00d3/html5/thumbnails/2.jpg)
Exponential Equations
Recall: These are equations of the form y=abx-h+k, ones where the ‘x’ is in the exponent
![Page 3: Exponential Equations](https://reader036.vdocuments.us/reader036/viewer/2022062520/56815f31550346895dce00d3/html5/thumbnails/3.jpg)
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
![Page 4: Exponential Equations](https://reader036.vdocuments.us/reader036/viewer/2022062520/56815f31550346895dce00d3/html5/thumbnails/4.jpg)
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
![Page 5: Exponential Equations](https://reader036.vdocuments.us/reader036/viewer/2022062520/56815f31550346895dce00d3/html5/thumbnails/5.jpg)
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
![Page 6: Exponential Equations](https://reader036.vdocuments.us/reader036/viewer/2022062520/56815f31550346895dce00d3/html5/thumbnails/6.jpg)
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)
![Page 7: Exponential Equations](https://reader036.vdocuments.us/reader036/viewer/2022062520/56815f31550346895dce00d3/html5/thumbnails/7.jpg)
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
![Page 8: Exponential Equations](https://reader036.vdocuments.us/reader036/viewer/2022062520/56815f31550346895dce00d3/html5/thumbnails/8.jpg)
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
![Page 9: Exponential Equations](https://reader036.vdocuments.us/reader036/viewer/2022062520/56815f31550346895dce00d3/html5/thumbnails/9.jpg)
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
![Page 10: Exponential Equations](https://reader036.vdocuments.us/reader036/viewer/2022062520/56815f31550346895dce00d3/html5/thumbnails/10.jpg)
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)