Answer
{$50$}
Work Step by Step
Step 1: $\log 2x=2$
Step 2: $2x=10^{2}$
Step 3: $2x=100$
Step 4: $x=\frac{100}{2}=50$
Therefore, the exact solution is {$50$}. Since the answer is a whole number, a four decimal approximation does not exist.