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2016 AMC 10A Question 2

AMC10 · 2016 AMC 10A

Question 2

For what value of $x$ does $$
10^{x} \cdot 100^{2x}=1000^{5}?
$$
  1. $1$
  2. $2$
  3. $3$
  4. $4$
  5. $5$