Answer
{$\frac{17}{3}$}
Work Step by Step
Step 1: $\log_{2} (3x-1)=4$
Step 2: $3x-1=2^{4}$
Step 3: $3x-1=16$
Step 4: $3x=16+1$
Step 5: $3x=17$
Step 6: $x=\frac{17}{3}$
Therefore, the solution set is {$\frac{17}{3}$}.
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