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If $2^x=3$, find a simplified expression for $\log_2 3^x$ that does not involve logarithms.

I've actually never done logarithms so someone please help me with this.

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    $\begingroup$ The problem as stated doesn't seem to make sense. Perhaps you mean: If $2^x=3$, find a simplified expression for $\log_2 3^x$ ...". $\endgroup$ – Blue Oct 30 '18 at 5:32
  • $\begingroup$ Since $3x=9/2$, you may simplify $\log_2(9/2)$ to $\log_2(9)-1=2\log_2(3)-1$. $\endgroup$ – Michael Hoppe Oct 30 '18 at 6:32

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