This fall, many high school juniors––and even some sophomores––will take the PSAT. In all likelihood, this will be their first experience with standardized college...
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Posts about ACT-Math practice:
5 Keys to Scoring a 30 on the ACT Math Section
Scoring a 30 or above on the ACT Math section is no easy feat; it takes a lot of preparation and practice! In this post, we’ll share with you 5 Key strategies to scoring a 30 or above on the ACT Math section. These strategies are tried and true, and tend to be very effective for students that we have helped prepare for the ACT exam.
ACT Math: A Lesson on Logarithms
What are logs in math? Do you use them to develop a foundation and build like beavers do? No, you don’t. Instead, in math, logs are the “opposite” of exponentials, just as subtraction is the opposite of addition. If I asked you what number (x) to the third power equals 8 (x3 = 8), then you would take the cube root of both sides and tell me the cube root of 8 equals 2.
Now consider this: if I asked you 2 raised to what power (x) gets you 8, how would you solve it? Well, we know that x=3 because 23 = 8, as we saw from the previous problem. But what steps would you take to solve this problem, or any others like it? As I mentioned before, logs are the “opposite”, or the inverse, of exponentials. Thus, one operation can undo the other. Let’s take a look at the relationship between them.