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Posts about ACT-Math practice:

Can AI Help You Prep for the SAT/ACT?

Can AI Really Help You Prep for the SAT/ACT? 4 Practical Guidelines (and 4 Videos)

Artificial intelligence is everywhere in education right now, and SAT/ACT prep is no exception. Some students are using AI to generate practice questions, explain answers, or map out study schedules. Others are worried it will replace tutors or make the test “too easy.” The truth is more nuanced: AI can be useful in a few specific ways, but it can also waste time (or teach you the wrong thing) if you don’t put guardrails around it.

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.

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