QuestionFind the exact value of the logarithm without using a calculator. $$\begin{array}{c} \log _{12} 144 \\ \log _{12} 144= \end{array}$$ $\square$ (Type an integer or a simplified fraction.)

Studdy Solution
Use the property of logarithms that states $\log_b (b^a) = a$. Since we have:
$$\log_{12} (12^2)$$
We can apply the property:
$$\log_{12} (12^2) = 2$$
The exact value of the logarithm is:
$$\boxed{2}$$