Question

Solve:
(x-2)^.66 = 49

Answer 1

is that raised to 0.66?

Answer 2

(x-2)^2/3 = 49

Answer 3

yes

Answer 4

cuberoot((x-2)^2) = 49

Answer 5

can you answer that now?

Answer 6

I'm not that good at math so I'm going to say no. haha

Answer 7

\[\sqrt[3]{(x-2)^2} = 49\]

Answer 8

to answr this, you must try to look on how you will be able to make the left hand side look similar to the right hand side

Answer 9

clue: \[\sqrt[3]{(x-2)^2} \] is also equal to

Answer 10

\[(\sqrt[3]{x-2})^2\]

Answer 11

see something to work with?

Answer 12

dude, lol I am just not even understanding this right now. My math class starts in like 15 minutes. Is there an easier way to explain?

Answer 13

\[(\sqrt[3]{x-2})^2 = 49\]

Answer 14

49 is also equal to???

Answer 15

sorry, i can't say the answer directly. rules. hehhee

Answer 16

try manipulating 49

Answer 17

to MAKE IT LOOK SIMILAR TO THE LEFT HAND SIDE

Answer 18

Hey, don't yell. Haha I understand tho. I really appreciate your help! Let's be friend ;)

Answer 19

I'm not yelling. I just wanted to emphasis that statement

Answer 20

in what ways can you make 49 look somewhat simalar to the left hand side?

Answer 21

I know, I'm just trolling you lol

Answer 22

But I really do need the help so yeah.

Answer 23

we all know that 49 is a perfect square, right?

Answer 24

yeah... 7

Answer 25

so???
since there's \[(\sqrt[3]{x-2})2\]

Answer 26

and there's 7^2

Answer 27

what will you do now?

Answer 28

if the exponents of 2 terms in an equality are the same, then they are equal to each other. You can just remove the ^2

Answer 29

that leaves you where?

Answer 30

so just 7? Man, this would be easier if I was talking to you face to face haha

Answer 31

yes and how bout the left side?

Answer 32

you have just removed the right side's exponent only

Answer 33

you have just removed the right side's exponent only
\[\sqrt[3]{x-2} = 7\]

Answer 34

Are you getting this?

Answer 35

Kind of... I'm following you a bit. Welp, math class is about to start so, lol I guess I'll keep in touch?

Answer 36

just make sure to isolate x from all the constants