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:

Voila.

Lastly, evaluate

We enter as

to get

The reason for that clean answer is using the ln rules as follows:

and lastly

We have to solve the following logarithmic equation:

Enter as

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.