2006 AMC 10A Problems/Problem 6
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Problem
What non-zero real value for satisfies ?
Solution
We first break up 14 into (7x)(2), so that
We then divide out
We take the 7th root of each side.
$\sqrt[7]{(7x)^7}=\sqrt[7]{2^7}
7x=2\Longrightarrow x=\frac{2}{7}, (B)$ (Error compiling LaTeX. Unknown error_msg)