# Find a simplified expression without logarithms

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

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