Entering Logarithms using different bases (which are the subscripts after log) is very easy. Say we want to enter log(3x) using base 10 : by default the Ti-Nspire Cx uses base 10 as the default and we just type in log(3x) as shown below:
Pressing ENTER then shows:
The image above shows how to change to base 2 logarithm. Pressing ENTER then shows the subscript 2 indicating base 2 Logarithm.
Lastly we are changing our expression to 3x+1 and use Logarithm base 7. Pressing Enter shows our desired expression
Lastly, you can solve Logarithmic Equations such log4(3x+1)=1 in two different ways:
Either you can type in solve(log4(3x+1)=1,x) and press ENTER.
Or, you define your Equation first using eq:=log4(3x+1)=1 and then type solve(eq,x).
Pick the method you prefer, they both work equally.
BTW, the solution is x=1 since log4(41)=1 and 3x+1 = 4 when x=1 . Always remember that the Logarithm is the Exponent of a Power as long as the two bases (subscript and the Base of the Power, here both are 4) match.
Watch the video below to see how to enter Logarithms with different bases.
