Use the definition of logarithm to find the missing value. \[ \log _{b} 144=2 \]

Step 1 ：Use the definition of logarithm to find the missing value: \(\log _{b} 144=2\)

Step 2 ：The definition of a logarithm states that if \(\log_b{a} = c\), then \(b^c = a\). In this case, we are given that \(\log_b{144} = 2\), so we can set up the equation \(b^2 = 144\) to solve for \(b\).

Step 3 ：Solving the equation gives \(b = 12.0\)

Step 4 ：Final Answer: The missing value is \(b = \boxed{12}\)