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Australian AMC 2022 - Senior Question 15

AMC AUSTRALIA · Australian AMC 2022 - Senior

Question 15

The value of $x$ in the equation $3^x+3^{x+1}+3^{x+2}=13\sqrt3$ is
  1. 0
  2. $\frac12$
  3. $\frac{13\sqrt3-9}9$
  4. $\sqrt3$
  5. $\frac{13\sqrt3-3}9$