SOLUTION: Solution of x-1/3=2

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Question 1125671: Solution of x-1/3=2
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
You may not have meant x-1%2F3=2 , which is what I read in your posting.

If you meant x%5E%28%22-1%2F3%22%29=2 , we can "undo" that power,
and transform/simplify that equation
by replacing expressions with equivalent ones,
until we get to the solution.
x%5E%28%22-1%2F3%22%29=2
%28x%5E%28%22-1%2F3%22%29%29%5E-3%22=%222%5E-3
x%5E%28%28%22-1%2F3%22%28-3%29%29%29%22=%221%2F2%5E3
x%5E%223%2F3%22=1%2F8
x%5E1=1%2F8
highlight%28x=1%2F8%29
I see that as the easiest way.
Another way:
x%5E%28%22-1%2F3%22%29%22=%221%2Fx%5E%221%2F3%22%22=%221%2Froot%283%2Cx%29%22=%22root%283%2C1%2Fx%29
The equation could be written as
1%2Froot%283%2Cx%29%22=%222 , and solved with
1%22=%222root%283%2Cx%29
1%2F2%22=%22root%283%2Cx%29
%281%2F2%29%5E3%22=%22%28root%283%2Cx%29%29%5E3
1%2F8=x ,
or something like that.