Final answer:
To find Logan's nephew's age, we need to set up an equation using the given information and solve for 'x'.
Step-by-step explanation:
To solve this problem, we can set up an equation based on the given information. Let's assume the age of Logan's nephew is represented by 'x'. We are told that Logan is 8 years older than 4 times the age of his nephew, which can be written as: Logan = 4x + 8. We are also given that Logan is 32 years old, so we can write another equation: Logan = 32. We can now solve this system of equations by substituting the value of Logan from the second equation into the first equation and solving for 'x'.
Using the second equation, we have: 32 = 4x + 8. Subtracting 8 from both sides gives: 24 = 4x. Dividing both sides by 4 gives: 6 = x. Therefore, the nephew is 6 years old.