SOLUTION: Trying to figure out the answer to: (x-2)^1/3=2

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Question 643242: Trying to figure out the answer to: (x-2)^1/3=2
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
(x-2)^1/3=2
take log of both sides
(1/3)log(x-2)=log2
log(x-2)=3log2=log(2^3)
x-2=2^3=8
x=10
check:
(x-2)^1/3
=(10-2)^(1/3)
=8^(1/3)
=2