Practice with simplifying numeric logarithms

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

Try rewriting the number inside the log as the base of the log to some power.
Compute the following numeric exponential value.

Theoretically Medium Difficulty Problem

Try rewriting the number inside the log as the base of the log to some power.
Recall that a negative power flips fractions - so you can use a negative exponent to turn into .
Compute the following numeric exponential value.

Theoretically Harder Difficulty Problem

Try to find a common base for both the value of the log’s base () and the argument of the log ().
The common base is .
Use the change of base formula to rewrite the log as a base log, then simplify.

Compute the following numeric exponential value.