2006 AMC 10A Problems/Problem 6
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Problem
What non-zero real value for 
satisfies 
?
Solution
Taking the seventh root of both sides, we get 
.
Simplifying the LHS gives 
, which then simplifies to 
.
Thus, 
, and the answer is 
.
See also
| 2006 AMC 10A (Problems • Resources) | ||
| Preceded by Problem 5 | Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
