To find the value of x when x³ equals 125, we need to take the cube root of both sides of the equation.
We can express this mathematically as:
x = ∛125
Now, we calculate the cube root of 125. The number 125 can be factored into prime factors, as follows:
125 = 5 × 5 × 5 = 5³
So, the cube root of 125 is 5. Therefore, we have:
x = 5
In conclusion, the value of x is 5.