Answer
$\{2.45, 5.66 \}$
Work Step by Step
Step 1. Graph $f(x)=log(x)-x^2+8x-14$ as shown in the figure.
Step 2. Find the x-intercept at $x=2.45, 5.66$, thus the solution set is $\{2.45, 5.66 \}$
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