Practice with change of base

How You Can (And Should) Get More Practice!

Below is a few practice problems of various difficulty, but you will need considerably more practice than one each. For that reason you should definitely use the green “Try Another” button in the top right corner at least two or three times to complete additional versions of these questions for more practice. You should keep using that button until doing these problems feels straight forward and easy, and then come back after a week or so of doing other stuff and try again to make sure it is still just as easy for you.

Theoretically Easier Difficulty Problem

Recall the change of base formula, to change a log from base to base :

Use the change of base formula to rewrite the expression as a base logarithm.

Theoretically Medium Difficulty Problem

Recall the change of base formula, to change a log from base to base :

Which of the following is equivalent to: ?

1:
2:
3:
4:
5:
6:

Enter the number corresponding to your choice:

Theoretically Harder Difficulty Problem

Start by changing the base of the logarithm to a new base which has the old base as a power and the argument as a power.
For a new base, try the base
Recall the change of base formula, to change a log from base to base :
Compute without using a calculator.