Say we have to logarithm base 6 of the cube root of 3 , here is how we enter it into the TiNspire CX CAS:
Upon pressing ENTER we will see the pretty format and the answer:
Let’s do another example: Logarithm base 6 of 1296 :
Pressing ENTER yields the solution 4 (since 1296 = 6^4) :
Here is exponential equation involving logarithm:
This is how it is entered:
Conveniently, log base 10 and exponential base 10 function cancel to get
Now we solve this function:
We enter as
The reason for that clean answer is using the ln rules as follows:
We have to solve the following logarithmic equation:
log((r+15)^2,3) = 4 and lastly
solve( log((r+15)^2,3) = 4 , r)
which solves for r using the TiNspire cx .
By hand: log_3_(r+15)^2 = 4 calls for exponentiating both sides using base 3 which yields : (r+15)^2 = 3^4 = 81 Square rooting both sides : r+15 = plus or minus 9 Thus, r = -6 or r = -24 . Plug each into the original equation to verify the correctness.
To compute the Gamma Function – Step by Step – using the TiNspire CX start the Differential Equation Made Easy app at https://www.tinspireapps.com/?a=DEQME , go to menu option EXTRAS and select GAMMA FUNCTION. You will be prompted to enter value for n as shown below.
Entering in example n=9 yields 8! or 40320 as the Gamma Value.
You may also enter .5 – value such as 4.5 or 9/2 into the Gamma Function, see below.
The Beta Function can easily be computed using the Gamma Function upon entering two values x and y for the Beta Function. Just select BETA FUNCTION under the EXTRAS menu.
Below we are entering x=5 and y = 4 to get the correct Beta Function value of 1/280 :
As you can see the Gamma and Beta Functions can be computed easily using the Differential Equations Made Easy. Values are computed step and step and are always correct. Even for large values of x and y and n .
Here is a proven way for those of you that struggle to connect your Ti89 calculator to a MAC computer.
This is what you need to do to get connected:
Uninstall TI Connect v4.0 if installed.
Download and Install TI Connect version 4.1 : https://education.ti.com/ticonnect/ticonnectmac41 . Beware: this link immediately downloads the .dmg file to your MAC, there is no webpage loading. Note: that download link may change if TI places the link on a webpage instead.
Make sure that you do not have a USB cable connected to your computer WHILE installing TI Connect.
If Ti89 is not recognized by your MAC: restart the MAC, try the other USB ports, have patience as drivers may take time to load. Listen carefully for sounds signaling successful driver installation.
Please find further information on troubleshooting connectivity issues here:
your teacher wants you to find Volume of Solid when rotating an enclosed area about x-axis using the cylindrical shell method
You have a TiNspire CAS CX and Calculus Made Easy from www.TinspireApps.com ? You are all set, just check the images!