False.
To determine if pi/12 is a solution for the equation 4 cos(24x) = 3, we start by substituting x with pi/12:
Step 1: Substitute x = pi/12 into the equation:
4 cos(24 * (pi/12)) = 4 cos(2pi) = 4 * 1 = 4.
Step 2: Compare the result with 3:
4 ≠ 3.
Since the left side does not equal the right side of the equation, we can conclude that pi/12 is not a solution. Therefore, the statement is false.