Which of the following is the correct inequality for extracting all possible values of b for which the function \(f(x)=\left\{\begin{matrix} 7x-x^3+\log(b^2-4b+4) &0\leq x<3 \\ x-9&x\geq3 \end{matrix}\right.\) has local maxima at x = 3 are -
1
\(\log(b^2-4b+4)\leq 0\)
2
\(\log(b^2-4b+4)\geq 0\)
3
\(\log(b^2-4b+4) = 0\)
4
none of these