Question

Solve for x
(x-2)^-4=625

Answer 1

Do you know of x^-2 = 1/(x^2)?

Answer 2

no I think the answer is x=7 is that correct

Answer 3

\((x-2)^4 =\dfrac{1}{625}\)

\(\sqrt[4]{(x-2)^4} = \sqrt[4]{\dfrac{1}{625}}\)

\(|x-2| = \dfrac{1}{\sqrt[4]{625}} = \dfrac{1}{5}\)

\(|x-2| = \dfrac{1}{5}\)

Answer 4

There are two answers.

Answer 5

x= 7 is not correct.

Answer 6

Ok I have math processong errors when you gave me thAt first reply and how do you get two solutions

Answer 7

Look at last step. There is absolute value.

Answer 8

Do you know how to get rid of absolute value?

Answer 9

I can't see your last step because it all says math processing error

Answer 10

So then does x=.5 and x=-2 is that what you are meaning what the answers are

Answer 11

Is that what you are meaing

Answer 12

Can someone tell me if x=-2 and x=.2 are the answers to this problem