Question

Simplify or solve each expression or equation.

Answer 1

\[(x-5)^{1/3}-4=-2\]
\[(x-5=2^3\]
\[x-5=8\]
\[x=13\]

Answer 2

Can we not finish the previous one first?

Answer 3

This is due tomorrow. Wanted to get it checked, and sure.

Answer 4

Not sure how much time I have though.

Answer 5

Is this right?

Answer 6

Aweh no... ;-;

Answer 7

Wait hang on. I just thought about what you did. When I saw that, I was thinking logs, but that's not necessary here. All you have to do is cube both sides, but here's the thing. Anytime you solve these you can check your own answer. Insert the value you found for x back into the original equation, then see if both sides agree.

Answer 8

So, actually, I'll say that what you did was exactly correct.

Answer 9

So I plug 13 back in?

Answer 10

So I was right?

Answer 11

Yes plug the 13 back in to check. It is correct. Sorry about that. I glanced really quickly before going back to the kitchen. I immediately cast doubt about your steps before looking at it thoroughly. My bad.

Answer 12

It’s a good thing to doubt me :)

Answer 13

But yeah, that's the cool thing about math, there's always a way to check your answer

Answer 14

Ready to go back to the last one?

Answer 15

And there is usually more than one way to solve math problems. For example in this case, you could also have used logs.

Answer 16

Logs?

Answer 17

But yeah, we can go back to the last one. If you don't know what logs is, don't worry about it for now. We'll wait until you get there.