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 • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
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All AMC 10 Problems and Solutions |
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