n to the 6th is greater than or equal to 38
To find the value of n that makes n to the 6th greater than or equal to 38, we need to solve the inequality n^6 ≥ 38.
To do this, we can take the 6th root of both sides of the inequality. Taking the 6th root of a number is the same as raising that number to the power of 1/6.
So, we have: n^6 ≥ 38
Taking the 6th root of both sides: (n^6)^(1/6) ≥ 38^(1/6)
Simplifying: n ≥ (38)^(1/6)
Now, we can calculate the value of n:
Using a calculator or a math software, we can find that the 6th root of 38 is approximately 1.812.
Therefore, n ≥ 1.812 is the solution to the inequality n^6 ≥ 38.