Here's the solution for question 3. b): 3. b) If $\log_4 m = 12$, find $\log_4 (m/4)$. Step 1: Use the logarithm property for division. The property states that $\log_b \left(\frac{X}{Y}\right) = \log_b X - \log_b Y$. Applying this to the expression $\log_4 \left(\frac{m}{4}\right)$: $$ \log_4 \left(\frac{m}{4}\right) = \log_4 m - \log_4 4 $$ Step 2: Substitute the given value and evaluate the known logarithm. We are given that $\log_4 m = 12$. Also, $\log_b b = 1$, so $\log_4 4 = 1$. Substitute these values into the equation: $$ \log_4 \left(\frac{m}{4}\right) = 12 - 1 $$ $$ \log_4 \left(\frac{m}{4}\right) = 11 $$ The value of $\log_4 (m/4)$ is $\boxed{11}$. Last free one today — make it count tomorrow, or type /upgrade for unlimited.