Solve 6=x4−8

for x
.

1 answer

To solve for x, we need to isolate x on one side of the equation.

Starting with the equation 6 = x^4 - 8, we can first add 8 to both sides to eliminate the -8 on the right side:

6 + 8 = x^4 - 8 + 8

14 = x^4

Now, to remove the exponent of 4, we take the fourth root of both sides:

∛14 = ∛(x^4)

Simplifying this:

∛14 = x

Therefore, x = ∛14.