Question

can anyone explain and help me with this?
(5x-4)^3 = 64

Answer 1

Well what do you think you have to do?

Answer 2

@blahblah_who_cares using square roots to solve?

Answer 3

Are you sure its square roots?

Answer 4

no
Im not

Answer 5

can we use roots to solve?

Answer 6

Well your equation is raised to 3rd power... Hint

Answer 7

yeah so its not squares then

Answer 8

how would we solve with roots?

Answer 9

So what do you think you have to do?

Answer 10

If its not squaring it, then you would have to......

Answer 11

Im not sure because its cubed and not squared

Answer 12

HINT: 64 = 4³

Answer 13

5x-4=8

Answer 14

Ok. So if you are not squaring it and ur equation is cubed, you would have to..... hint:you are literally saying it.

Answer 15

So you are saying 8^3=64?

Answer 16

cubing it?

Answer 17

8² = 64 = 4³

Answer 18

5x-4 \(\neq\) 8

Answer 19

5x-4=4

Answer 20

yes

Answer 21

4x4x4=64?

Answer 22

Yes. I told you. 4³ = 64

Answer 23

4³ = 4·4·4 = 64

Answer 24

but the part thats confusing is 5x-4=4 and 5x-4=-4, then would how do I write the third part?

Answer 25

Don't worry about positive or negative, it's only for even exponent. You are dealing with odd exponent.

Answer 26

ok so then its just 5x-4=4 and 5x-4=-4

Answer 27

Then solve

Answer 28

Woah your negatives or positives stay the same because it is to an odd power. ex. -1^3 = -1*-1*-1. two negatives cancel leaving one.

Answer 29

so the sol set is 0.625, and 0?

Answer 30

or 5/8 and 0

Answer 31

No, you are dealing with odd power, thus you only have one answer.

Answer 32

"your negatives or positives stay the same because it is to an odd power. ex. -1^3 = -1*-1*-1. two negatives cancel leaving one." - blahblah_who_cares

Answer 33

@micahwood50 so then my answer is5/8?

Answer 34

Incorrect, but you are close.

Answer 35

@micahwood50 alright let me try again

Answer 36

0?

Answer 37

@micahwood50 can you help me out?

Answer 38

\[(5x-4)^3 = 64\]\[\sqrt[3]{(5x-4)^3} = \sqrt[3]{64}\]\[5x - 4 = 4\]
See what I did there? Can you solve for the x now?

Answer 39

5x/5=8/4

Answer 40

x=4?

Answer 41

8/5*

Answer 42

sorry 8/5

Answer 43

^correct

Answer 44

You divide both sides by 5.

Answer 45

yes

Answer 46

Yeah, it is 8/5

Answer 47

Is it clear?

Answer 48

I must be really tired becauase thats the setup I did up there earlier. But just divided incorrectly aggggghhhhh

Answer 49

Yes thank you

Answer 50

It's alright. I make silly mistakes sometime. Don't worry about it.

Glad we helped.

Answer 51

Everyone makes mistakes.

Answer 52

“No one is perfect... that's why pencils have erasers.” :P

Answer 53

Lol thank you!