Final answer:
To solve this problem, we need to translate the given information into an equation and isolate the unknown number 'x'.
Step-by-step explanation:
To solve this problem, we can translate the given information into an equation. Let's represent the unknown number as 'x'. According to the problem, 3 times the fourth root of 2 less than 'x' is equal to 6. Mathematically, this can be written as 3 * (x^(1/4)) - 2 = 6. To find the value of 'x', we need to isolate it on one side of the equation. First, we add 2 to both sides: 3 * (x^(1/4)) = 8. Then, we divide both sides by 3: x^(1/4) = 8/3. Finally, we raise both sides to the 4th power: (x^(1/4))^4 = (8/3)^4. Simplifying this equation will give us the value of 'x'.