AMC 12 2016a Problem 2

For what value of $x$ does $10^x \cdot 100^{2x} = 1000^5$ ?

\textbf{(A)}\ 1 \textbf{(B)}\ 2 \textbf{(C)}\ 3 \textbf{(D)}\ 4 \textbf{(E)}\ 5

Dataset text AMC 12 2000 to 2025. Quoted with source.

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