#### Answer

$2,3,4$

#### Work Step by Step

Step 1. Given $x=4$ as a zero for $f(x)=x^3-9x^2+26x-24$, use synthetic division to find the quotient as shown in the figure.
Step 2. With the quotient as $x^2-5x+6=(x-2)(x-3)$, we get the other two zeros as $x=2,3$
Step 3. The solutions to the equation are $x=2,3,4$