# ACT Math: More Logarithm Problems

Recently we posted a review of logarithm rules that included some problems that you might see in the Math section of the ACT.  If you’re looking for some more of these problems, we’ve come up with six more you can try.  Before you begin, you may wish to again review the rules of logarithms summarized in the table below.

``````

Property
Rule

Product Property
logbMN = logbM + logbN

Quotient Property
logb M/N = logbM – logbN

Power Property
logbMx = xlogbM

``````

All set on those properties?  Great!  Now give these problems a try.  The answers appear at the bottom of this post.

# ACT Math: Logarithms

The math on the ACT goes deeper into the high school math curriculum than does the math on the SAT.  One of these more advanced topics is logarithms.  Logarithmic and exponential functions are related to each other.  You should know the properties of both and be able to convert from one type of function to the other.  The relationship between the two functions is the following:

If y = bx, then logby = x

It is also important that you know the properties of logarithms.

``````

Property
Rule

Product Property
logbMN = logbM + logbN

Quotient Property
logb M/N = logbM – logbN

Power Property
logbMx = xlogbM

``````

Here are some problems involving logarithms that are similar to those you could see on the ACT Math test.  Give them a try.  The solutions appear at the bottom of this post.