To solve for \( x \) in the equation \( x^8 = 120 \), you can take the eighth root of both sides:
\[ x = 120^{1/8} \]
Now, calculating \( 120^{1/8} \):
-
First, find \( 120^{1/8} \) using a calculator or exponentiation.
\( 120^{1/8} \approx 2.087 \) (approximately).
So the solution is:
\[ x \approx 2.087 \]
If you need a more precise answer, you can also express it as:
\[ x \approx 2.0865 \]
The exact answer is \( x = 120^{1/8} \).