Question

If (2x)³ = √128 and x = ∛2 what is the value of n?

A) n=2
B) n=3
C) n=4
D) n=5

Answer 1

The value of n can be A, B, C, or D

Step-by-step explanation:

To solve for the value of n, we need to first substitute the given value of x into the equation (2x)³ = √128. Since x = ∛2, we can rewrite the equation as (2∛2)³ = √128. Simplifying further, we have 8∛8 = √128. Both sides of the equation simplify to 8√2 = 8√2, which is a true statement. Therefore, any value of n could be the solution. So all options A, B, C, and D could be the correct value of n.