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2022 AMC 12A Problems/Problem 11

Revision as of 11:15, 12 November 2022 by Oxymoronic15 (talk | contribs) (Created page with "==Problem== What is the product of all real numbers <math>x</math> such that the distance on the number line between <math>\log_6x</math> and <math>\log_69</math> is twice th...")
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Problem

What is the product of all real numbers $x$ such that the distance on the number line between $\log_6x$ and $\log_69$ is twice the distance on the number line between $\log_610$ and $1$?

$\textbf{(A) } 10 \qquad \textbf{(B) } 18 \qquad \textbf{(C) } 25 \qquad \textbf{(D) } 36 \qquad \textbf{(E) } 81$

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