Answer
{$\frac{\log 7}{2\log 3}$} , {$0.8856$}
Work Step by Step
Step 1: $3^{2x}=7$
Step 2: $\log 3^{2x}=\log 7$
Step 3: $2x\log 3=\log 7$
Step 4: $x=\frac{\log 7}{2\log 3}\approx0.8856$
Therefore, the exact solution is {$\frac{\log 7}{2\log 3}$} whereas the four decimal approximation is {$0.8856$}.
