SOLUTION: 81x^4 = (x − 2)^4 I know 81 can be simplified to 3^4, so I'm at (3x)^4 = (x-2)^4 Where do I go from here?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: 81x^4 = (x − 2)^4 I know 81 can be simplified to 3^4, so I'm at (3x)^4 = (x-2)^4 Where do I go from here?      Log On


   

Question 645050: 81x^4 = (x − 2)^4
I know 81 can be simplified to 3^4, so I'm at (3x)^4 = (x-2)^4
Where do I go from here?
Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

81x^4 = (x − 2)^4
I know 81 can be simplified to 3^4, so I'm at (3x)^4 = (x-2)^4
Where do I go from here?

81x%5E4+=+%28x+-+2%29%5E4

%283x%29%5E4+=+%28x+-+2%29%5E4, as you stated

Since the exponents are equal, then their bases are equal too. Therefore, we have:
3x = x - 2

3x - x = - 2

2x = - 2

x+=+-+2%2F2, or highlight_green%28-+1%29

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